<html><head><title>The GAP 4 Reference Manual - Index I</title></head> <body text="#000000" bgcolor="#ffffff"> <h1>The <font face="Gill Sans,Helvetica,Arial">GAP</font> 4 Reference Manual - Index I</h1> <p> <a href="theindex.htm">_</A> <a href="indxA.htm">A</A> <a href="indxB.htm">B</A> <a href="indxC.htm">C</A> <a href="indxD.htm">D</A> <a href="indxE.htm">E</A> <a href="indxF.htm">F</A> <a href="indxG.htm">G</A> <a href="indxH.htm">H</A> <a href="indxI.htm">I</A> <a href="indxJ.htm">J</A> <a href="indxK.htm">K</A> <a href="indxL.htm">L</A> <a href="indxM.htm">M</A> <a href="indxN.htm">N</A> <a href="indxO.htm">O</A> <a href="indxP.htm">P</A> <a href="indxQ.htm">Q</A> <a href="indxR.htm">R</A> <a href="indxS.htm">S</A> <a href="indxT.htm">T</A> <a href="indxU.htm">U</A> <a href="indxV.htm">V</A> <a href="indxW.htm">W</A> <a href="indxX.htm">X</A> <a href="indxY.htm">Y</A> <a href="indxZ.htm">Z</A> <dt>i_N <a href="CHAP018.htm#I18">18.4</a> <dt>Ideal <a href="CHAP054.htm#SSEC002.1">54.2.1</a> <dt>IdealByGenerators <a href="CHAP054.htm#SSEC002.4">54.2.4</a> <dt>IdealNC <a href="CHAP054.htm#SSEC002.2">54.2.2</a> <dt>Ideals <a href="CHAP060.htm#SECT006">60.6</a> <dt>Ideals in Rings <a href="CHAP054.htm#SECT002">54.2</a> <dt>Ideals of semigroups <a href="CHAP049.htm#SECT002">49.2</a> <dt>Idempotents <a href="CHAP033.htm#SSEC004.6">33.4.6</a> <dt>IdempotentsTom <a href="CHAP068.htm#SSEC007.8">68.7.8</a> <dt>IdempotentsTomInfo <a href="CHAP068.htm#SSEC007.8">68.7.8</a> <dt>Identical Lists <a href="CHAP021.htm#SECT006">21.6</a> <dt>Identical Objects <a href="CHAP012.htm#SECT005">12.5</a> <dt>Identical Records <a href="CHAP027.htm#SECT003">27.3</a> <dt>IdentificationOfConjugacyClasses <a href="CHAP069.htm#SSEC006.3">69.6.3</a> <dt>Identifier, for character tables <a href="CHAP069.htm#SSEC008.12">69.8.12</a> <dt>Identifier, for tables of marks <a href="CHAP068.htm#SSEC007.9">68.7.9</a> <dt>Identifiers <a href="CHAP004.htm#SECT006">4.6</a> <dt>Identity <a href="CHAP030.htm#SSEC010.2">30.10.2</a> <dt>IdentityBinaryRelation <a href="CHAP032.htm#SSEC001.3">32.1.3</a> <dt>IdentityFromSCTable <a href="CHAP060.htm#SSEC003.6">60.3.6</a> <dt>IdentityMapping <a href="CHAP031.htm#SSEC001.9">31.1.9</a> <dt>IdentityMat <a href="CHAP024.htm#SSEC004.1">24.4.1</a> <dt>IdentityTransformation <a href="CHAP052.htm#">52.0</a> <dt>IdFunc <a href="CHAP005.htm#SSEC003.4">5.3.4</a> <dt>IdGap3SolvableGroup <a href="CHAP048.htm#SSEC007.7">48.7.7</a> <dt>IdGroup <a href="CHAP048.htm#SSEC007.5">48.7.5</a> <dt>IdSmallGroup <a href="CHAP048.htm#SSEC007.5">48.7.5</a> <dt>IdsOfAllSmallGroups <a href="CHAP048.htm#SSEC007.6">48.7.6</a> <dt>If <a href="CHAP004.htm#SECT016">4.16</a> <dt>if statement <a href="CHAP004.htm#SSEC016.1">4.16.1</a> <dt>If Things Go Wrong <a href="CHAP073.htm#SECT009">73.9</a> <dt>Image <a href="CHAP031.htm#SSEC003.6">31.3.6</a> <dt>Image, for Frobenius automorphisms <a href="CHAP057.htm#I4">57.4</a> <dt>image, vector under matrix <a href="CHAP024.htm#SSEC002.10">24.2.10</a> <dt>ImageElm <a href="CHAP031.htm#SSEC003.5">31.3.5</a> <dt>ImageListOfTransformation <a href="CHAP052.htm#">52.0</a> <dt>Images <a href="CHAP031.htm#SSEC003.7">31.3.7</a> <dt>Images under Mappings <a href="CHAP031.htm#SECT003">31.3</a> <dt>ImagesElm <a href="CHAP031.htm#SSEC003.3">31.3.3</a> <dt>ImageSetOfTransformation <a href="CHAP052.htm#">52.0</a> <dt>ImagesRepresentative <a href="CHAP031.htm#SSEC003.2">31.3.2</a> <dt>ImagesSet <a href="CHAP031.htm#SSEC003.4">31.3.4</a> <dt>ImagesSmallestGenerators <a href="CHAP038.htm#SSEC003.1">38.3.1</a> <dt>ImagesSource <a href="CHAP031.htm#SSEC003.1">31.3.1</a> <dt>ImaginaryPart <a href="CHAP018.htm#SSEC005.2">18.5.2</a> <dt>ImfInvariants <a href="CHAP048.htm#SSEC012.3">48.12.3</a> <dt>ImfMatrixGroup <a href="CHAP048.htm#SSEC012.4">48.12.4</a> <dt>ImfNumberQClasses <a href="CHAP048.htm#SSEC012.1">48.12.1</a> <dt>ImfNumberQQClasses <a href="CHAP048.htm#SSEC012.1">48.12.1</a> <dt>ImfNumberZClasses <a href="CHAP048.htm#SSEC012.1">48.12.1</a> <dt>Immutable <a href="CHAP012.htm#SSEC006.3">12.6.3</a> <dt>ImmutableBasis <a href="CHAP059.htm#SSEC007.4">59.7.4</a> <dt>ImmutableMatrix <a href="CHAP024.htm#SSEC013.1">24.13.1</a> <dt>in, for collections <a href="CHAP028.htm#SSEC005.1">28.5.1</a> <dt>in, for lists <a href="CHAP021.htm#I5">21.8</a> <dt>in, for strictly sorted lists <a href="CHAP021.htm#SSEC019.1">21.19.1</a> <dt>in, operation for <a href="CHAP028.htm#SSEC005.1">28.5.1</a> <dt>IndependentGeneratorsOfAbelianGroup <a href="CHAP037.htm#SSEC022.5">37.22.5</a> <dt>Indeterminate <a href="CHAP064.htm#SSEC001.1">64.1.1</a> <dt>IndeterminateName <a href="CHAP064.htm#SSEC001.4">64.1.4</a> <dt>Indeterminateness <a href="CHAP071.htm#SSEC003.13">71.3.13</a> <dt>IndeterminateNumberOfLaurentPolynomial <a href="CHAP064.htm#SSEC012.3">64.12.3</a> <dt>IndeterminateNumberOfUnivariateRationalFunction <a href="CHAP064.htm#SSEC001.2">64.1.2</a> <dt>IndeterminateOfUnivariateRationalFunction <a href="CHAP064.htm#SSEC001.3">64.1.3</a> <dt>Indeterminates <a href="CHAP064.htm#SECT001">64.1</a> <dt>IndeterminatesOfPolynomialRing <a href="CHAP064.htm#SSEC014.2">64.14.2</a> <dt>Index <a href="CHAP037.htm#SSEC003.2">37.3.2</a> <dt>Index numbers of primitive groups <a href="CHAP048.htm#SECT010">48.10</a> <dt>IndexInWholeGroup <a href="CHAP037.htm#SSEC003.3">37.3.3</a> <dt>IndexNC <a href="CHAP037.htm#SSEC003.2">37.3.2</a> <dt>Indicator <a href="CHAP069.htm#SSEC010.4">69.10.4</a> <dt>IndicatorOp <a href="CHAP069.htm#SSEC010.4">69.10.4</a> <dt>IndicesCentralNormalSteps <a href="CHAP043.htm#SSEC011.7">43.11.7</a> <dt>IndicesChiefNormalSteps <a href="CHAP043.htm#SSEC011.15">43.11.15</a> <dt>IndicesEANormalSteps <a href="CHAP043.htm#SSEC011.3">43.11.3</a> <dt>IndicesInvolutaryGenerators <a href="CHAP045.htm#SSEC005.9">45.5.9</a> <dt>IndicesNormalSteps <a href="CHAP043.htm#SSEC011.17">43.11.17</a> <dt>IndicesOfAdjointBasis <a href="CHAP060.htm#SSEC008.6">60.8.6</a> <dt>IndicesPCentralNormalStepsPGroup <a href="CHAP043.htm#SSEC011.11">43.11.11</a> <dt>IndicesStabChain <a href="CHAP041.htm#SSEC009.7">41.9.7</a> <dt>Indirected <a href="CHAP071.htm#SSEC003.4">71.3.4</a> <dt>Induced Actions <a href="CHAP067.htm#SECT007">67.7</a> <dt>InducedAutomorphism <a href="CHAP038.htm#SSEC007.6">38.7.6</a> <dt>InducedClassFunction <a href="CHAP070.htm#SSEC009.3">70.9.3</a> <dt>InducedClassFunctions <a href="CHAP070.htm#SSEC009.4">70.9.4</a> <dt>InducedClassFunctionsByFusionMap <a href="CHAP070.htm#SSEC009.5">70.9.5</a> <dt>InducedCyclic <a href="CHAP070.htm#SSEC009.6">70.9.6</a> <dt>InducedPcgs <a href="CHAP043.htm#SSEC007.4">43.7.4</a> <dt>InducedPcgsByGenerators <a href="CHAP043.htm#SSEC007.5">43.7.5</a> <dt>InducedPcgsByGeneratorsNC <a href="CHAP043.htm#SSEC007.5">43.7.5</a> <dt>InducedPcgsByPcSequence <a href="CHAP043.htm#SSEC007.2">43.7.2</a> <dt>InducedPcgsByPcSequenceAndGenerators <a href="CHAP043.htm#SSEC007.6">43.7.6</a> <dt>InducedPcgsByPcSequenceNC <a href="CHAP043.htm#SSEC007.2">43.7.2</a> <dt>InducedPcgsWrtFamilyPcgs <a href="CHAP044.htm#SSEC001.3">44.1.3</a> <dt>InducedPcgsWrtSpecialPcgs <a href="CHAP043.htm#SSEC013.8">43.13.8</a> <dt>Inequalities <a href="CHAP070.htm#SSEC014.5">70.14.5</a> <dt>inequality test <a href="CHAP004.htm#SSEC011.1">4.11.1</a> <dt>inequality, of records <a href="CHAP027.htm#SSEC004.1">27.4.1</a> <dt>InertiaSubgroup <a href="CHAP070.htm#SSEC008.13">70.8.13</a> <dt>Infinity <a href="CHAP018.htm#SECT002">18.2</a> <dt>infinity <a href="CHAP018.htm#SSEC002.1">18.2.1</a> <dt>inflated class functions <a href="CHAP070.htm#I32">70.9</a> <dt>Info <a href="CHAP007.htm#SSEC004.5">7.4.5</a> <dt>Info Functions <a href="CHAP007.htm#SECT004">7.4</a> <dt>InfoAlgebra <a href="CHAP060.htm#">60.0</a> <dt>InfoAttributes <a href="CHAP013.htm#SSEC006.4">13.6.4</a> <dt>InfoBckt <a href="CHAP041.htm#SSEC011.4">41.11.4</a> <dt>InfoCharacterTable <a href="CHAP069.htm#SSEC004.2">69.4.2</a> <dt>InfoCoh <a href="CHAP037.htm#SSEC023.5">37.23.5</a> <dt>InfoComplement <a href="CHAP037.htm#SSEC011.7">37.11.7</a> <dt>InfoCoset <a href="CHAP037.htm#SSEC009.6">37.9.6</a> <dt>InfoFpGroup <a href="CHAP045.htm#">45.0</a> <dt>InfoGroebner <a href="CHAP064.htm#SSEC017.4">64.17.4</a> <dt>InfoGroup <a href="CHAP037.htm#SSEC002.7">37.2.7</a> <dt>InfoLattice <a href="CHAP037.htm#SSEC020.8">37.20.8</a> <dt>InfoLevel <a href="CHAP007.htm#SSEC004.4">7.4.4</a> <dt>InfoMatrix <a href="CHAP024.htm#">24.0</a> <dt>InfoMonomial <a href="CHAP072.htm#">72.0</a> <dt>InfoNumtheor <a href="CHAP015.htm#">15.0</a> <dt>InfoOptions <a href="CHAP008.htm#">8.0</a> <dt>InfoPcSubgroup <a href="CHAP037.htm#SSEC021.6">37.21.6</a> <dt>Information about a function <a href="CHAP005.htm#SECT001">5.1</a> <dt>Information about the version used <a href="CHAP007.htm#SECT008">7.8</a> <dt>InfoText <a href="CHAP069.htm#SSEC008.13">69.8.13</a> <dt>InfoTom <a href="CHAP068.htm#SSEC006.1">68.6.1</a> <dt>InfoWarning <a href="CHAP007.htm#SSEC004.6">7.4.6</a> <dt>Init <a href="CHAP014.htm#SSEC005.3">14.5.3</a> <dt>InitFusion <a href="CHAP071.htm#SSEC005.1">71.5.1</a> <dt>InitPowerMap <a href="CHAP071.htm#SSEC004.1">71.4.1</a> <dt>InjectionZeroMagma <a href="CHAP033.htm#SSEC002.12">33.2.12</a> <dt>inner product, of group characters <a href="CHAP070.htm#I26">70.8</a> <dt>InnerAutomorphism <a href="CHAP038.htm#SSEC006.3">38.6.3</a> <dt>InnerAutomorphismNC <a href="CHAP038.htm#SSEC006.3">38.6.3</a> <dt>InnerAutomorphismsAutomorphismGroup <a href="CHAP038.htm#SSEC007.5">38.7.5</a> <dt>Input-Output Streams <a href="CHAP010.htm#SECT008">10.8</a> <dt>InputLogTo <a href="CHAP009.htm#SSEC007.7">9.7.7</a> <dt>InputLogTo, for streams <a href="CHAP010.htm#SSEC004.6">10.4.6</a> <dt>InputLogTo, stop logging input <a href="CHAP009.htm#SSEC007.8">9.7.8</a> <dt>InputOutputLocalProcess <a href="CHAP010.htm#SSEC008.2">10.8.2</a> <dt>InputTextFile <a href="CHAP010.htm#SSEC005.1">10.5.1</a> <dt>InputTextNone <a href="CHAP010.htm#SSEC009.1">10.9.1</a> <dt>InputTextString <a href="CHAP010.htm#SSEC007.1">10.7.1</a> <dt>InputTextUser <a href="CHAP010.htm#SSEC006.1">10.6.1</a> <dt>InsertTrivialStabilizer <a href="CHAP041.htm#SSEC010.8">41.10.8</a> <dt>InstallAtExit <a href="CHAP006.htm#SSEC008.2">6.8.2</a> <dt>installation <a href="CHAP073.htm#I0">73.0</a> <dt>Installation of GAP for MacOS <a href="CHAP073.htm#SECT016">73.16</a> <dt>Installation Overview <a href="CHAP073.htm#SECT001">73.1</a> <dt>InstallCharReadHookFunc <a href="CHAP010.htm#SSEC010.1">10.10.1</a> <dt>InstalledPackageVersion <a href="CHAP074.htm#SSEC003.3">74.3.3</a> <dt>InstallFactorMaintenance <a href="CHAP030.htm#SSEC013.6">30.13.6</a> <dt>InstallHandlingByNiceBasis <a href="CHAP059.htm#SSEC011.1">59.11.1</a> <dt>Installing a GAP Package <a href="CHAP074.htm#SECT001">74.1</a> <dt>Installing GAP <a href="CHAP073.htm">73.0</a> <dt>InstallIsomorphismMaintenance <a href="CHAP030.htm#SSEC013.5">30.13.5</a> <dt>InstallSubsetMaintenance <a href="CHAP030.htm#SSEC013.4">30.13.4</a> <dt>Int <a href="CHAP014.htm#SSEC001.3">14.1.3</a> <dt>Int, for cyclotomics <a href="CHAP018.htm#I4">18.1</a> <dt>Int, for strings <a href="CHAP026.htm#SSEC007.1">26.7.1</a> <dt>INT_CHAR <a href="CHAP026.htm#SSEC006.1">26.6.1</a> <dt>integer part of a quotient <a href="CHAP014.htm#I5">14.2</a> <dt>Integers <a href="CHAP014.htm">14.0</a> <a href="CHAP014.htm#">14.0</a> <dt>Integral Bases of Abelian Number Fields <a href="CHAP058.htm#SECT003">58.3</a> <dt>Integral matrices and lattices <a href="CHAP025.htm">25.0</a> <dt>IntegralizedMat <a href="CHAP025.htm#SSEC004.4">25.4.4</a> <dt>IntegratedStraightLineProgram <a href="CHAP035.htm#SSEC008.8">35.8.8</a> <dt>IntermediateGroup <a href="CHAP037.htm#SSEC017.17">37.17.17</a> <dt>IntermediateResultOfSLP <a href="CHAP035.htm#SSEC008.10">35.8.10</a> <dt>IntermediateResultOfSLPWithoutOverwrite <a href="CHAP035.htm#SSEC008.11">35.8.11</a> <dt>IntermediateResultsOfSLPWithoutOverwrite <a href="CHAP035.htm#SSEC008.12">35.8.12</a> <dt>IntermediateSubgroups <a href="CHAP037.htm#SSEC017.18">37.17.18</a> <dt>Internally Represented Cyclotomics <a href="CHAP018.htm#SECT006">18.6</a> <dt>Internally Represented Strings <a href="CHAP026.htm#SECT002">26.2</a> <dt>InterpolatedPolynomial <a href="CHAP054.htm#SSEC007.9">54.7.9</a> <dt>IntersectBlist <a href="CHAP022.htm#SSEC003.3">22.3.3</a> <dt>Intersection <a href="CHAP028.htm#SSEC004.2">28.4.2</a> <dt>Intersection, for groups with pcgs <a href="CHAP043.htm#I12">43.16</a> <dt>intersection, of collections <a href="CHAP028.htm#I7">28.4</a> <dt>intersection, of sets <a href="CHAP021.htm#I24">21.19</a> <dt>Intersection2 <a href="CHAP028.htm#SSEC004.2">28.4.2</a> <dt>IntersectionBlist <a href="CHAP022.htm#SSEC002.2">22.2.2</a> <dt>IntersectionsTom <a href="CHAP068.htm#SSEC009.10">68.9.10</a> <dt>IntersectSet <a href="CHAP021.htm#SSEC019.7">21.19.7</a> <dt>IntFFE <a href="CHAP057.htm#SSEC002.3">57.2.3</a> <dt>IntFFESymm <a href="CHAP057.htm#SSEC002.4">57.2.4</a> <dt>IntHexString <a href="CHAP026.htm#SSEC007.1">26.7.1</a> <dt>IntScalarProducts <a href="CHAP071.htm#SSEC003.15">71.3.15</a> <a href="CHAP071.htm#I8">71.3</a> <dt>IntVecFFE <a href="CHAP057.htm#SSEC002.5">57.2.5</a> <dt>Invariant Forms <a href="CHAP042.htm#SECT004">42.4</a> <a href="CHAP067.htm#SECT009">67.9</a> <dt>InvariantBilinearForm <a href="CHAP042.htm#SSEC004.1">42.4.1</a> <dt>InvariantElementaryAbelianSeries <a href="CHAP037.htm#SSEC017.10">37.17.10</a> <dt>InvariantLattice <a href="CHAP042.htm#SSEC005.6">42.5.6</a> <dt>InvariantQuadraticForm <a href="CHAP042.htm#SSEC004.5">42.4.5</a> <dt>InvariantSesquilinearForm <a href="CHAP042.htm#SSEC004.3">42.4.3</a> <dt>InvariantSubgroupsElementaryAbelianGroup <a href="CHAP037.htm#SSEC021.2">37.21.2</a> <dt>Inverse <a href="CHAP030.htm#SSEC010.8">30.10.8</a> <dt>Inverse, group homomorphism <a href="CHAP038.htm#I1">38.2</a> <dt>inverse, matrix <a href="CHAP024.htm#SSEC002.8">24.2.8</a> <dt>inverse, of class function <a href="CHAP070.htm#I7">70.4</a> <dt>InverseAttr <a href="CHAP030.htm#SSEC010.8">30.10.8</a> <dt>InverseClasses <a href="CHAP069.htm#SSEC008.14">69.8.14</a> <dt>InverseGeneralMapping <a href="CHAP031.htm#SSEC001.3">31.1.3</a> <dt>InverseImmutable <a href="CHAP030.htm#SSEC010.8">30.10.8</a> <dt>InverseMap <a href="CHAP071.htm#SSEC003.2">71.3.2</a> <dt>InverseMatMod <a href="CHAP024.htm#SSEC013.5">24.13.5</a> <dt>InverseMutable <a href="CHAP030.htm#SSEC010.8">30.10.8</a> <dt>InverseOp <a href="CHAP030.htm#SSEC010.8">30.10.8</a> <dt>InverseRepresentative <a href="CHAP041.htm#SSEC009.10">41.9.10</a> <dt>InverseSameMutability <a href="CHAP030.htm#SSEC010.8">30.10.8</a> <dt>InverseSM <a href="CHAP030.htm#SSEC010.8">30.10.8</a> <dt>Invoking the Help <a href="CHAP002.htm#SECT001">2.1</a> <dt>Irr <a href="CHAP069.htm#SSEC008.2">69.8.2</a> <dt>irrationalities <a href="CHAP018.htm#I1">18.0</a> <dt>IrrBaumClausen <a href="CHAP069.htm#SSEC012.3">69.12.3</a> <dt>IrrConlon <a href="CHAP069.htm#SSEC012.2">69.12.2</a> <dt>IrrDixonSchneider <a href="CHAP069.htm#SSEC012.1">69.12.1</a> <dt>Irreducibility Tests <a href="CHAP067.htm#SECT005">67.5</a> <dt>irreducible character <a href="CHAP070.htm#I22">70.8</a> <dt>irreducible characters, computation <a href="CHAP069.htm#I35">69.15</a> <dt>Irreducible Maximal Finite Integral Matrix Groups <a href="CHAP048.htm#SECT012">48.12</a> <dt>Irreducible Solvable Matrix Groups <a href="CHAP048.htm#SECT011">48.11</a> <dt>IrreducibleDifferences <a href="CHAP070.htm#SSEC010.3">70.10.3</a> <dt>IrreducibleModules <a href="CHAP069.htm#SSEC013.1">69.13.1</a> <dt>IrreducibleModules, for groups with pcgs <a href="CHAP043.htm#I14">43.16</a> <dt>IrreducibleRepresentations <a href="CHAP069.htm#SSEC012.4">69.12.4</a> <dt>IrreducibleRepresentationsDixon <a href="CHAP069.htm#SSEC012.5">69.12.5</a> <dt>IrreducibleSolvableGroup <a href="CHAP048.htm#SSEC011.6">48.11.6</a> <dt>IrreducibleSolvableGroupMS <a href="CHAP048.htm#SSEC011.1">48.11.1</a> <dt>Is16BitsFamily <a href="CHAP035.htm#SSEC006.7">35.6.7</a> <dt>Is32BitsFamily <a href="CHAP035.htm#SSEC006.7">35.6.7</a> <dt>Is8BitsFamily <a href="CHAP035.htm#SSEC006.7">35.6.7</a> <dt>IsAbelian <a href="CHAP033.htm#SSEC004.9">33.4.9</a> <dt>IsAbelian, for character tables <a href="CHAP069.htm#I14">69.8</a> <dt>IsAbelianNumberField <a href="CHAP058.htm#SSEC002.2">58.2.2</a> <dt>IsAbelianNumberFieldPolynomialRing <a href="CHAP064.htm#SSEC014.6">64.14.6</a> <dt>IsAbelianTom <a href="CHAP068.htm#SSEC008.1">68.8.1</a> <dt>IsAdditiveElement <a href="CHAP030.htm#SSEC014.3">30.14.3</a> <dt>IsAdditiveElementWithInverse <a href="CHAP030.htm#SSEC014.7">30.14.7</a> <dt>IsAdditiveElementWithZero <a href="CHAP030.htm#SSEC014.5">30.14.5</a> <dt>IsAdditiveGroup <a href="CHAP053.htm#SSEC001.6">53.1.6</a> <dt>IsAdditiveGroupGeneralMapping <a href="CHAP031.htm#SSEC009.4">31.9.4</a> <dt>IsAdditiveGroupHomomorphism <a href="CHAP031.htm#SSEC009.4">31.9.4</a> <dt>IsAdditivelyCommutative <a href="CHAP053.htm#SSEC003.1">53.3.1</a> <dt>IsAdditivelyCommutativeElement <a href="CHAP030.htm#SSEC015.2">30.15.2</a> <dt>IsAdditivelyCommutativeElementCollColl <a href="CHAP030.htm#SSEC015.2">30.15.2</a> <dt>IsAdditivelyCommutativeElementCollection <a href="CHAP030.htm#SSEC015.2">30.15.2</a> <dt>IsAdditivelyCommutativeElementFamily <a href="CHAP030.htm#SSEC015.2">30.15.2</a> <dt>IsAdditiveMagma <a href="CHAP053.htm#SSEC001.4">53.1.4</a> <dt>IsAdditiveMagmaWithInverses <a href="CHAP053.htm#SSEC001.6">53.1.6</a> <dt>IsAdditiveMagmaWithZero <a href="CHAP053.htm#SSEC001.5">53.1.5</a> <dt>IsAlgebra <a href="CHAP060.htm#SSEC007.3">60.7.3</a> <dt>IsAlgebraGeneralMapping <a href="CHAP031.htm#SSEC011.3">31.11.3</a> <dt>IsAlgebraHomomorphism <a href="CHAP031.htm#SSEC011.3">31.11.3</a> <dt>IsAlgebraicElement <a href="CHAP065.htm#SSEC002.1">65.2.1</a> <dt>IsAlgebraicExtension <a href="CHAP065.htm#SSEC001.2">65.1.2</a> <dt>IsAlgebraModuleElement <a href="CHAP060.htm#SSEC010.8">60.10.8</a> <dt>IsAlgebraModuleElementCollection <a href="CHAP060.htm#SSEC010.8">60.10.8</a> <dt>IsAlgebraModuleElementFamily <a href="CHAP060.htm#SSEC010.8">60.10.8</a> <dt>IsAlgebraWithOne <a href="CHAP060.htm#SSEC007.4">60.7.4</a> <dt>IsAlgebraWithOneGeneralMapping <a href="CHAP031.htm#SSEC011.4">31.11.4</a> <dt>IsAlgebraWithOneHomomorphism <a href="CHAP031.htm#SSEC011.4">31.11.4</a> <dt>IsAlphaChar <a href="CHAP026.htm#SSEC003.4">26.3.4</a> <dt>IsAlternatingGroup <a href="CHAP041.htm#SSEC003.4">41.3.4</a> <dt>IsAnticommutative <a href="CHAP054.htm#SSEC004.6">54.4.6</a> <dt>IsAntisymmetricBinaryRelation <a href="CHAP032.htm#SSEC002.4">32.2.4</a> <dt>IsAssociated <a href="CHAP054.htm#SSEC005.3">54.5.3</a> <dt>IsAssociative <a href="CHAP033.htm#SSEC004.7">33.4.7</a> <dt>IsAssociativeElement <a href="CHAP030.htm#SSEC015.1">30.15.1</a> <dt>IsAssociativeElementCollColl <a href="CHAP030.htm#SSEC015.1">30.15.1</a> <dt>IsAssociativeElementCollection <a href="CHAP030.htm#SSEC015.1">30.15.1</a> <dt>IsAssocWord <a href="CHAP035.htm#SSEC001.1">35.1.1</a> <dt>IsAssocWordWithInverse <a href="CHAP035.htm#SSEC001.1">35.1.1</a> <dt>IsAssocWordWithOne <a href="CHAP035.htm#SSEC001.1">35.1.1</a> <dt>IsAutomorphismGroup <a href="CHAP038.htm#SSEC007.4">38.7.4</a> <dt>IsBasicWreathLessThanOrEqual <a href="CHAP035.htm#SSEC003.4">35.3.4</a> <dt>IsBasicWreathProductOrdering <a href="CHAP029.htm#SSEC003.12">29.3.12</a> <dt>IsBasis <a href="CHAP059.htm#SSEC004.1">59.4.1</a> <dt>IsBasisByNiceBasis <a href="CHAP059.htm#SSEC010.5">59.10.5</a> <dt>IsBasisOfAlgebraModuleElementSpace <a href="CHAP060.htm#SSEC010.14">60.10.14</a> <dt>IsBergerCondition <a href="CHAP072.htm#SSEC001.3">72.1.3</a> <dt>IsBijective <a href="CHAP031.htm#SSEC002.6">31.2.6</a> <dt>IsBinaryRelation <a href="CHAP032.htm#SSEC001.1">32.1.1</a> <dt>IsBinaryRelation, same as IsEndoGeneralMapping <a href="CHAP032.htm#I1">32.0</a> <dt>IsBLetterAssocWordRep <a href="CHAP035.htm#SSEC006.3">35.6.3</a> <dt>IsBLetterWordsFamily <a href="CHAP035.htm#SSEC006.4">35.6.4</a> <dt>IsBlist <a href="CHAP022.htm#">22.0</a> <dt>IsBlockMatrixRep <a href="CHAP024.htm#I2">24.15</a> <dt>IsBool <a href="CHAP020.htm#">20.0</a> <dt>IsBound and Unbind for Lists <a href="CHAP021.htm#SECT005">21.5</a> <dt>IsBound and Unbind for Records <a href="CHAP027.htm#SECT005">27.5</a> <dt>IsBound, for lists <a href="CHAP021.htm#SSEC005.1">21.5.1</a> <dt>IsBoundGlobal <a href="CHAP004.htm#SSEC009.5">4.9.5</a> <dt>IsBrauerTable <a href="CHAP069.htm#SSEC004.1">69.4.1</a> <dt>IsBravaisGroup <a href="CHAP042.htm#SSEC005.10">42.5.10</a> <dt>IsBuiltFromAdditiveMagmaWithInverses <a href="CHAP036.htm#SSEC003.1">36.3.1</a> <dt>IsBuiltFromGroup <a href="CHAP036.htm#SSEC003.6">36.3.6</a> <dt>IsBuiltFromMagma <a href="CHAP036.htm#SSEC003.2">36.3.2</a> <dt>IsBuiltFromMagmaWithInverses <a href="CHAP036.htm#SSEC003.4">36.3.4</a> <dt>IsBuiltFromMagmaWithOne <a href="CHAP036.htm#SSEC003.3">36.3.3</a> <dt>IsBuiltFromSemigroup <a href="CHAP036.htm#SSEC003.5">36.3.5</a> <dt>IsCanonicalBasis <a href="CHAP059.htm#SSEC006.1">59.6.1</a> <dt>IsCanonicalBasisFullMatrixModule <a href="CHAP059.htm#SSEC008.10">59.8.10</a> <dt>IsCanonicalBasisFullRowModule <a href="CHAP059.htm#SSEC008.9">59.8.9</a> <dt>IsCanonicalNiceMonomorphism <a href="CHAP038.htm#SSEC005.4">38.5.4</a> <dt>IsCanonicalPcgs <a href="CHAP043.htm#SSEC008.1">43.8.1</a> <dt>IsCentral <a href="CHAP033.htm#SSEC004.8">33.4.8</a> <dt>IsCentralFactor <a href="CHAP037.htm#SSEC024.7">37.24.7</a> <dt>IsChar <a href="CHAP026.htm#">26.0</a> <dt>IsCharacter <a href="CHAP070.htm#SSEC008.1">70.8.1</a> <dt>IsCharacteristicSubgroup <a href="CHAP037.htm#SSEC003.7">37.3.7</a> <dt>IsCharacterTable <a href="CHAP069.htm#SSEC004.1">69.4.1</a> <dt>IsCharacterTableInProgress <a href="CHAP069.htm#SSEC004.1">69.4.1</a> <dt>IsCharCollection <a href="CHAP026.htm#">26.0</a> <dt>IsCheapConwayPolynomial <a href="CHAP057.htm#SSEC005.2">57.5.2</a> <dt>IsClassFunction <a href="CHAP070.htm#">70.0</a> <dt>IsClassFusionOfNormalSubgroup <a href="CHAP069.htm#SSEC010.3">69.10.3</a> <dt>IsClosedStream <a href="CHAP010.htm#SSEC001.2">10.1.2</a> <dt>IsCochain <a href="CHAP061.htm#SSEC012.2">61.12.2</a> <dt>IsCochainCollection <a href="CHAP061.htm#SSEC012.2">61.12.2</a> <dt>IsCollection <a href="CHAP028.htm#">28.0</a> <dt>IsCollectionFamily <a href="CHAP028.htm#SSEC001.2">28.1.2</a> <dt>IsCommutative <a href="CHAP033.htm#SSEC004.9">33.4.9</a> <dt>IsCommutativeElement <a href="CHAP030.htm#SSEC015.3">30.15.3</a> <dt>IsCommutativeElementCollColl <a href="CHAP030.htm#SSEC015.3">30.15.3</a> <dt>IsCommutativeElementCollection <a href="CHAP030.htm#SSEC015.3">30.15.3</a> <dt>IsCompositionMappingRep <a href="CHAP031.htm#SSEC001.6">31.1.6</a> <dt>IsConfluent <a href="CHAP036.htm#SSEC001.5">36.1.5</a> <dt>IsConfluent, for pc groups <a href="CHAP044.htm#SSEC004.7">44.4.7</a> <dt>IsConjugacyClassSubgroupsByStabilizerRep <a href="CHAP037.htm#SSEC019.2">37.19.2</a> <dt>IsConjugacyClassSubgroupsRep <a href="CHAP037.htm#SSEC019.2">37.19.2</a> <dt>IsConjugate <a href="CHAP037.htm#SSEC010.9">37.10.9</a> <dt>IsConjugatorAutomorphism <a href="CHAP038.htm#SSEC006.4">38.6.4</a> <dt>IsConjugatorIsomorphism <a href="CHAP038.htm#SSEC006.4">38.6.4</a> <dt>IsConstantRationalFunction <a href="CHAP064.htm#SSEC004.11">64.4.11</a> <dt>IsConstantTimeAccessGeneralMapping <a href="CHAP031.htm#SSEC012.2">31.12.2</a> <dt>IsConstantTimeAccessList <a href="CHAP021.htm#SSEC001.5">21.1.5</a> <dt>IsContainedInSpan <a href="CHAP059.htm#SSEC007.5">59.7.5</a> <dt>IsCopyable <a href="CHAP012.htm#SSEC006.1">12.6.1</a> <dt>IsCyc <a href="CHAP018.htm#SSEC001.3">18.1.3</a> <dt>IsCyclic <a href="CHAP037.htm#SSEC015.1">37.15.1</a> <dt>IsCyclic, for character tables <a href="CHAP069.htm#I15">69.8</a> <dt>IsCyclicTom <a href="CHAP068.htm#SSEC008.1">68.8.1</a> <dt>IsCyclotomic <a href="CHAP018.htm#SSEC001.3">18.1.3</a> <dt>IsCyclotomicField <a href="CHAP058.htm#SSEC002.3">58.2.3</a> <dt>IsCyclotomicMatrixGroup <a href="CHAP042.htm#SSEC005.1">42.5.1</a> <dt>IsDenseList <a href="CHAP021.htm#SSEC001.2">21.1.2</a> <dt>IsDiagonalMat <a href="CHAP024.htm#SSEC003.8">24.3.8</a> <dt>IsDigitChar <a href="CHAP026.htm#SSEC003.1">26.3.1</a> <dt>IsDirectoryPath <a href="CHAP009.htm#SSEC006.5">9.6.5</a> <dt>IsDistributive <a href="CHAP054.htm#SSEC004.5">54.4.5</a> <dt>IsDivisionRing <a href="CHAP056.htm#SSEC001.1">56.1.1</a> <dt>IsDomain <a href="CHAP030.htm#SSEC009.1">30.9.1</a> <dt>IsDoneIterator <a href="CHAP028.htm#SSEC007.4">28.7.4</a> <dt>IsDoubleCoset <a href="CHAP037.htm#SSEC009.4">37.9.4</a> <dt>IsDuplicateFree <a href="CHAP021.htm#SSEC017.2">21.17.2</a> <dt>IsDuplicateFreeList <a href="CHAP021.htm#SSEC017.2">21.17.2</a> <dt>IsDxLargeGroup <a href="CHAP069.htm#SSEC015.8">69.15.8</a> <dt>IsElementaryAbelian <a href="CHAP037.htm#SSEC015.2">37.15.2</a> <dt>IsElementaryAbelian, for character tables <a href="CHAP069.htm#I16">69.8</a> <dt>IsElementOfFpMonoid <a href="CHAP051.htm#">51.0</a> <dt>IsElementOfFpSemigroup <a href="CHAP051.htm#">51.0</a> <dt>IsElementOfFreeMagmaRing <a href="CHAP063.htm#SSEC002.1">63.2.1</a> <dt>IsElementOfFreeMagmaRingCollection <a href="CHAP063.htm#SSEC002.1">63.2.1</a> <dt>IsElementOfFreeMagmaRingFamily <a href="CHAP063.htm#SSEC002.2">63.2.2</a> <dt>IsElementOfMagmaRingModuloRelations <a href="CHAP063.htm#SSEC004.1">63.4.1</a> <dt>IsElementOfMagmaRingModuloRelationsCollection <a href="CHAP063.htm#SSEC004.1">63.4.1</a> <dt>IsElementOfMagmaRingModuloRelationsFamily <a href="CHAP063.htm#SSEC004.2">63.4.2</a> <dt>IsElementOfMagmaRingModuloSpanOfZeroFamily <a href="CHAP063.htm#SSEC005.1">63.5.1</a> <dt>IsEmpty <a href="CHAP028.htm#SSEC003.1">28.3.1</a> <dt>IsEmptyString <a href="CHAP026.htm#SSEC002.3">26.2.3</a> <dt>IsEndOfStream <a href="CHAP010.htm#SSEC003.7">10.3.7</a> <dt>IsEndoGeneralMapping <a href="CHAP031.htm#SSEC012.3">31.12.3</a> <dt>IsEndoGeneralMapping, same as IsBinaryRelation <a href="CHAP032.htm#I2">32.0</a> <dt>IsEqualSet <a href="CHAP021.htm#SSEC019.2">21.19.2</a> <dt>IsEquivalenceClass <a href="CHAP032.htm#SSEC007.1">32.7.1</a> <dt>IsEquivalenceRelation <a href="CHAP032.htm#SSEC002.8">32.2.8</a> <dt>IsEuclideanRing <a href="CHAP054.htm#SSEC006.1">54.6.1</a> <dt>IsEvenInt <a href="CHAP014.htm#SSEC001.4">14.1.4</a> <dt>IsExecutableFile <a href="CHAP009.htm#SSEC006.4">9.6.4</a> <dt>IsExistingFile <a href="CHAP009.htm#SSEC006.1">9.6.1</a> <dt>IsExtAElement <a href="CHAP030.htm#SSEC014.1">30.14.1</a> <dt>IsExternalOrbit <a href="CHAP039.htm#SSEC011.8">39.11.8</a> <dt>IsExternalSet <a href="CHAP039.htm#SSEC011.1">39.11.1</a> <dt>IsExternalSubset <a href="CHAP039.htm#SSEC011.6">39.11.6</a> <dt>IsExtLElement <a href="CHAP030.htm#SSEC014.8">30.14.8</a> <dt>IsExtRElement <a href="CHAP030.htm#SSEC014.9">30.14.9</a> <dt>IsFamilyPcgs <a href="CHAP044.htm#SSEC001.2">44.1.2</a> <dt>IsFFE <a href="CHAP057.htm#SSEC001.1">57.1.1</a> <dt>IsFFECollColl <a href="CHAP057.htm#SSEC001.1">57.1.1</a> <dt>IsFFECollection <a href="CHAP057.htm#SSEC001.1">57.1.1</a> <dt>IsField <a href="CHAP056.htm#SSEC001.2">56.1.2</a> <dt>IsFieldControlledByGaloisGroup <a href="CHAP056.htm#I2">56.3</a> <dt>IsFieldHomomorphism <a href="CHAP031.htm#SSEC011.5">31.11.5</a> <dt>IsFinite <a href="CHAP028.htm#SSEC003.2">28.3.2</a> <dt>IsFinite, for character tables <a href="CHAP069.htm#I17">69.8</a> <dt>IsFiniteDimensional <a href="CHAP055.htm#SSEC003.5">55.3.5</a> <dt>IsFiniteDimensional, for matrix algebras <a href="CHAP060.htm#SSEC007.7">60.7.7</a> <dt>IsFiniteFieldPolynomialRing <a href="CHAP064.htm#SSEC014.5">64.14.5</a> <dt>IsFinitelyGeneratedGroup <a href="CHAP037.htm#SSEC015.12">37.15.12</a> <dt>IsFiniteOrderElement <a href="CHAP030.htm#SSEC015.4">30.15.4</a> <dt>IsFiniteOrderElementCollColl <a href="CHAP030.htm#SSEC015.4">30.15.4</a> <dt>IsFiniteOrderElementCollection <a href="CHAP030.htm#SSEC015.4">30.15.4</a> <dt>IsFiniteOrdersPcgs <a href="CHAP043.htm#SSEC004.2">43.4.2</a> <dt>IsFixedStabilizer <a href="CHAP041.htm#SSEC010.9">41.10.9</a> <dt>IsFLMLOR <a href="CHAP060.htm#SSEC007.1">60.7.1</a> <dt>IsFLMLORWithOne <a href="CHAP060.htm#SSEC007.2">60.7.2</a> <dt>IsFpGroup <a href="CHAP045.htm#">45.0</a> <dt>IsFpMonoid <a href="CHAP051.htm#">51.0</a> <dt>IsFpSemigroup <a href="CHAP051.htm#">51.0</a> <dt>IsFreeGroup <a href="CHAP035.htm#SSEC002.2">35.2.2</a> <dt>IsFreeLeftModule <a href="CHAP055.htm#SSEC003.1">55.3.1</a> <dt>IsFreeMagmaRing <a href="CHAP063.htm#SSEC001.3">63.1.3</a> <dt>IsFreeMagmaRingWithOne <a href="CHAP063.htm#SSEC001.4">63.1.4</a> <dt>IsFromFpGroupGeneralMappingByImages <a href="CHAP038.htm#SSEC010.9">38.10.9</a> <dt>IsFromFpGroupHomomorphismByImages <a href="CHAP038.htm#SSEC010.9">38.10.9</a> <dt>IsFromFpGroupStdGensGeneralMappingByImages <a href="CHAP038.htm#SSEC010.10">38.10.10</a> <dt>IsFromFpGroupStdGensHomomorphismByImages <a href="CHAP038.htm#SSEC010.10">38.10.10</a> <dt>IsFullHomModule <a href="CHAP059.htm#SSEC009.7">59.9.7</a> <dt>IsFullMatrixModule <a href="CHAP055.htm#SSEC003.11">55.3.11</a> <dt>IsFullRowModule <a href="CHAP055.htm#SSEC003.9">55.3.9</a> <dt>IsFullSubgroupGLorSLRespectingBilinearForm <a href="CHAP042.htm#SSEC004.2">42.4.2</a> <dt>IsFullSubgroupGLorSLRespectingQuadraticForm <a href="CHAP042.htm#SSEC004.6">42.4.6</a> <dt>IsFullSubgroupGLorSLRespectingSesquilinearForm <a href="CHAP042.htm#SSEC004.4">42.4.4</a> <dt>IsFullTransformationSemigroup <a href="CHAP049.htm#SSEC001.4">49.1.4</a> <dt>IsFunction <a href="CHAP005.htm#SSEC004.1">5.4.1</a> <dt>IsGAPRandomSource <a href="CHAP014.htm#SSEC005.4">14.5.4</a> <dt>IsGaussianIntegers <a href="CHAP058.htm#SSEC005.2">58.5.2</a> <dt>IsGaussianRationals <a href="CHAP058.htm#SSEC001.3">58.1.3</a> <dt>IsGaussianSpace <a href="CHAP059.htm#SSEC008.3">59.8.3</a> <dt>IsGaussInt <a href="CHAP018.htm#SSEC001.12">18.1.12</a> <dt>IsGaussRat <a href="CHAP018.htm#SSEC001.13">18.1.13</a> <dt>IsGeneralizedDomain <a href="CHAP030.htm#SSEC009.1">30.9.1</a> <dt>IsGeneralizedRowVector <a href="CHAP021.htm#SSEC012.1">21.12.1</a> <dt>IsGeneralLinearGroup <a href="CHAP042.htm#SSEC003.1">42.3.1</a> <dt>IsGeneralMapping <a href="CHAP031.htm#SSEC012.1">31.12.1</a> <dt>IsGeneralMappingFamily <a href="CHAP031.htm#SSEC013.2">31.13.2</a> <dt>IsGeneratorsOfStruct <a href="CHAP030.htm#SSEC003.2">30.3.2</a> <dt>IsGL <a href="CHAP042.htm#SSEC003.1">42.3.1</a> <dt>IsGlobalRandomSource <a href="CHAP014.htm#SSEC005.4">14.5.4</a> <dt>IsGreensClass <a href="CHAP049.htm#SSEC005.3">49.5.3</a> <dt>IsGreensDClass <a href="CHAP049.htm#SSEC005.3">49.5.3</a> <dt>IsGreensDRelation <a href="CHAP049.htm#SSEC005.2">49.5.2</a> <dt>IsGreensHClass <a href="CHAP049.htm#SSEC005.3">49.5.3</a> <dt>IsGreensHRelation <a href="CHAP049.htm#SSEC005.2">49.5.2</a> <dt>IsGreensJClass <a href="CHAP049.htm#SSEC005.3">49.5.3</a> <dt>IsGreensJRelation <a href="CHAP049.htm#SSEC005.2">49.5.2</a> <dt>IsGreensLClass <a href="CHAP049.htm#SSEC005.3">49.5.3</a> <dt>IsGreensLessThanOrEqual <a href="CHAP049.htm#SSEC005.4">49.5.4</a> <dt>IsGreensLRelation <a href="CHAP049.htm#SSEC005.2">49.5.2</a> <dt>IsGreensRClass <a href="CHAP049.htm#SSEC005.3">49.5.3</a> <dt>IsGreensRelation <a href="CHAP049.htm#SSEC005.2">49.5.2</a> <dt>IsGreensRRelation <a href="CHAP049.htm#SSEC005.2">49.5.2</a> <dt>IsGroup <a href="CHAP037.htm#SSEC002.6">37.2.6</a> <dt>IsGroupGeneralMapping <a href="CHAP031.htm#SSEC008.4">31.8.4</a> <dt>IsGroupGeneralMappingByAsGroupGeneralMappingByImages <a href="CHAP038.htm#SSEC010.2">38.10.2</a> <dt>IsGroupGeneralMappingByImages <a href="CHAP038.htm#SSEC010.1">38.10.1</a> <dt>IsGroupGeneralMappingByPcgs <a href="CHAP038.htm#SSEC010.6">38.10.6</a> <dt>IsGroupHClass <a href="CHAP049.htm#SSEC005.11">49.5.11</a> <dt>IsGroupHomomorphism <a href="CHAP031.htm#SSEC008.4">31.8.4</a> <dt>IsGroupOfAutomorphisms <a href="CHAP038.htm#SSEC007.1">38.7.1</a> <dt>IsGroupRing <a href="CHAP063.htm#SSEC001.5">63.1.5</a> <dt>IsHandledByNiceBasis <a href="CHAP055.htm#SSEC003.13">55.3.13</a> <dt>IsHandledByNiceBasis, for vector spaces <a href="CHAP059.htm#SSEC010.6">59.10.6</a> <dt>IsHandledByNiceMonomorphism <a href="CHAP038.htm#SSEC005.1">38.5.1</a> <dt>IsHasseDiagram <a href="CHAP032.htm#SSEC002.7">32.2.7</a> <dt>IsHomogeneousList <a href="CHAP021.htm#SSEC001.3">21.1.3</a> <dt>IsIdempotent <a href="CHAP030.htm#SSEC010.7">30.10.7</a> <dt>IsIdenticalObj <a href="CHAP012.htm#SSEC005.1">12.5.1</a> <dt>IsIncomparableUnder <a href="CHAP029.htm#SSEC002.3">29.2.3</a> <dt>IsInducedFromNormalSubgroup <a href="CHAP072.htm#SSEC002.4">72.2.4</a> <dt>IsInducedPcgs <a href="CHAP043.htm#SSEC007.1">43.7.1</a> <dt>IsInducedPcgsWrtSpecialPcgs <a href="CHAP043.htm#SSEC013.7">43.13.7</a> <dt>IsInfBitsFamily <a href="CHAP035.htm#SSEC006.7">35.6.7</a> <dt>IsInfinity <a href="CHAP018.htm#SSEC002.1">18.2.1</a> <dt>IsInjective <a href="CHAP031.htm#SSEC002.4">31.2.4</a> <dt>IsInnerAutomorphism <a href="CHAP038.htm#SSEC006.4">38.6.4</a> <dt>IsInputOutputStream <a href="CHAP010.htm#SSEC008.1">10.8.1</a> <dt>IsInputStream <a href="CHAP010.htm#SSEC001.3">10.1.3</a> <dt>IsInputTextNone <a href="CHAP010.htm#SSEC001.5">10.1.5</a> <dt>IsInputTextStream <a href="CHAP010.htm#SSEC001.4">10.1.4</a> <dt>IsInt <a href="CHAP014.htm#SSEC001.1">14.1.1</a> <dt>IsIntegerMatrixGroup <a href="CHAP042.htm#SSEC005.3">42.5.3</a> <dt>IsIntegers <a href="CHAP014.htm#">14.0</a> <dt>IsIntegralBasis <a href="CHAP059.htm#SSEC006.2">59.6.2</a> <dt>IsIntegralCyclotomic <a href="CHAP018.htm#SSEC001.4">18.1.4</a> <dt>IsIntegralRing <a href="CHAP054.htm#SSEC004.1">54.4.1</a> <dt>IsInternallyConsistent <a href="CHAP012.htm#SSEC008.3">12.8.3</a> <dt>IsInternallyConsistent, for character tables <a href="CHAP069.htm#SSEC010.1">69.10.1</a> <dt>IsInternallyConsistent, for tables of marks <a href="CHAP068.htm#SSEC009.1">68.9.1</a> <dt>IsIrreducibleCharacter <a href="CHAP070.htm#SSEC008.3">70.8.3</a> <dt>IsIrreducibleRingElement <a href="CHAP054.htm#SSEC005.6">54.5.6</a> <dt>IsIterator <a href="CHAP028.htm#SSEC007.3">28.7.3</a> <dt>IsJacobianElement <a href="CHAP030.htm#SSEC015.5">30.15.5</a> <dt>IsJacobianElementCollColl <a href="CHAP030.htm#SSEC015.5">30.15.5</a> <dt>IsJacobianElementCollection <a href="CHAP030.htm#SSEC015.5">30.15.5</a> <dt>IsJacobianRing <a href="CHAP054.htm#SSEC004.8">54.4.8</a> <dt>IsLaurentPolynomial <a href="CHAP064.htm#SSEC004.10">64.4.10</a> <dt>IsLaurentPolynomialDefaultRep <a href="CHAP064.htm#SSEC020.7">64.20.7</a> <dt>IsLDistributive <a href="CHAP054.htm#SSEC004.3">54.4.3</a> <dt>IsLeftAlgebraModuleElement <a href="CHAP060.htm#SSEC010.9">60.10.9</a> <dt>IsLeftAlgebraModuleElementCollection <a href="CHAP060.htm#SSEC010.9">60.10.9</a> <dt>IsLeftIdeal <a href="CHAP054.htm#SSEC002.3">54.2.3</a> <dt>IsLeftIdealInParent <a href="CHAP054.htm#SSEC002.3">54.2.3</a> <dt>IsLeftModule <a href="CHAP055.htm#SSEC001.2">55.1.2</a> <dt>IsLeftModuleGeneralMapping <a href="CHAP031.htm#SSEC010.2">31.10.2</a> <dt>IsLeftModuleHomomorphism <a href="CHAP031.htm#SSEC010.2">31.10.2</a> <dt>IsLeftOperatorAdditiveGroup <a href="CHAP055.htm#SSEC001.1">55.1.1</a> <dt>IsLeftSemigroupIdeal <a href="CHAP049.htm#SSEC002.3">49.2.3</a> <dt>IsLeftVectorSpace <a href="CHAP059.htm#">59.0</a> <dt>IsLessThanOrEqualUnder <a href="CHAP029.htm#SSEC002.8">29.2.8</a> <dt>IsLessThanUnder <a href="CHAP029.htm#SSEC002.7">29.2.7</a> <dt>IsLetterAssocWordRep <a href="CHAP035.htm#SSEC006.1">35.6.1</a> <dt>IsLetterWordsFamily <a href="CHAP035.htm#SSEC006.2">35.6.2</a> <dt>IsLexicographicallyLess <a href="CHAP021.htm#SSEC020.8">21.20.8</a> <dt>IsLexOrderedFFE <a href="CHAP057.htm#SSEC001.3">57.1.3</a> <dt>IsLieAbelian <a href="CHAP061.htm#SSEC005.1">61.5.1</a> <dt>IsLieAlgebra <a href="CHAP060.htm#SSEC007.5">60.7.5</a> <dt>IsLieMatrix <a href="CHAP024.htm#SSEC001.3">24.1.3</a> <dt>IsLieNilpotent <a href="CHAP061.htm#SSEC005.2">61.5.2</a> <dt>IsLieObject <a href="CHAP061.htm#SSEC001.2">61.1.2</a> <dt>IsLieObjectCollection <a href="CHAP061.htm#SSEC001.2">61.1.2</a> <dt>IsLieSolvable <a href="CHAP061.htm#SSEC005.3">61.5.3</a> <dt>IsLinearMapping <a href="CHAP031.htm#SSEC010.3">31.10.3</a> <dt>IsLinearMappingsModule <a href="CHAP059.htm#SSEC009.9">59.9.9</a> <dt>IsList <a href="CHAP021.htm#SSEC001.1">21.1.1</a> <dt>IsListDefault <a href="CHAP021.htm#SSEC012.3">21.12.3</a> <dt>IsListOrCollection <a href="CHAP028.htm#SSEC002.1">28.2.1</a> <dt>IsLogOrderedFFE <a href="CHAP057.htm#SSEC001.3">57.1.3</a> <dt>IsLowerAlphaChar <a href="CHAP026.htm#SSEC003.2">26.3.2</a> <dt>IsLowerTriangularMat <a href="CHAP024.htm#SSEC003.10">24.3.10</a> <dt>IsMagma <a href="CHAP033.htm#SSEC001.1">33.1.1</a> <dt>IsMagmaHomomorphism <a href="CHAP031.htm#SSEC007.1">31.7.1</a> <dt>IsMagmaRingModuloRelations <a href="CHAP063.htm#SSEC004.4">63.4.4</a> <dt>IsMagmaRingModuloSpanOfZero <a href="CHAP063.htm#SSEC005.2">63.5.2</a> <dt>IsMagmaWithInverses <a href="CHAP033.htm#SSEC001.4">33.1.4</a> <dt>IsMagmaWithInversesIfNonzero <a href="CHAP033.htm#SSEC001.3">33.1.3</a> <dt>IsMagmaWithOne <a href="CHAP033.htm#SSEC001.2">33.1.2</a> <dt>IsMapping <a href="CHAP031.htm#SSEC002.3">31.2.3</a> <dt>IsMatchingSublist <a href="CHAP021.htm#SSEC017.1">21.17.1</a> <dt>IsMatrix <a href="CHAP024.htm#SSEC001.1">24.1.1</a> <dt>IsMatrixGroup <a href="CHAP042.htm#">42.0</a> <dt>IsMatrixModule <a href="CHAP055.htm#SSEC003.8">55.3.8</a> <dt>IsMatrixSpace <a href="CHAP059.htm#SSEC008.2">59.8.2</a> <dt>IsMersenneTwister <a href="CHAP014.htm#SSEC005.4">14.5.4</a> <dt>IsMinimalNonmonomial <a href="CHAP072.htm#SSEC004.1">72.4.1</a> <dt>IsModuloPcgs <a href="CHAP043.htm#SSEC009.2">43.9.2</a> <dt>IsMonoid <a href="CHAP050.htm#">50.0</a> <dt>IsMonomial, for character tables <a href="CHAP069.htm#I18">69.8</a> <dt>IsMonomial, for characters <a href="CHAP072.htm#I1">72.3</a> <dt>IsMonomial, for groups <a href="CHAP072.htm#I0">72.3</a> <dt>IsMonomial, for positive integers <a href="CHAP072.htm#I2">72.3</a> <dt>IsMonomialGroup <a href="CHAP037.htm#SSEC015.9">37.15.9</a> <dt>IsMonomialMatrix <a href="CHAP024.htm#SSEC003.7">24.3.7</a> <dt>IsMonomialNumber <a href="CHAP072.htm#SSEC003.3">72.3.3</a> <dt>IsMonomialOrdering <a href="CHAP064.htm#SSEC016.1">64.16.1</a> <dt>IsMultiplicativeElement <a href="CHAP030.htm#SSEC014.10">30.14.10</a> <dt>IsMultiplicativeElementWithInverse <a href="CHAP030.htm#SSEC014.13">30.14.13</a> <dt>IsMultiplicativeElementWithOne <a href="CHAP030.htm#SSEC014.11">30.14.11</a> <dt>IsMultiplicativeElementWithZero <a href="CHAP030.htm#SSEC014.12">30.14.12</a> <dt>IsMultiplicativeGeneralizedRowVector <a href="CHAP021.htm#SSEC012.2">21.12.2</a> <dt>IsMultiplicativeZero <a href="CHAP033.htm#SSEC004.12">33.4.12</a> <dt>IsMutable <a href="CHAP012.htm#SSEC006.2">12.6.2</a> <dt>IsMutableBasis <a href="CHAP059.htm#SSEC007.1">59.7.1</a> <dt>IsNaturalAlternatingGroup <a href="CHAP041.htm#SSEC003.2">41.3.2</a> <dt>IsNaturalGL <a href="CHAP042.htm#SSEC003.2">42.3.2</a> <dt>IsNaturalGLnZ <a href="CHAP042.htm#SSEC005.4">42.5.4</a> <dt>IsNaturalSL <a href="CHAP042.htm#SSEC003.4">42.3.4</a> <dt>IsNaturalSLnZ <a href="CHAP042.htm#SSEC005.5">42.5.5</a> <dt>IsNaturalSymmetricGroup <a href="CHAP041.htm#SSEC003.1">41.3.1</a> <dt>IsNearAdditiveElement <a href="CHAP030.htm#SSEC014.2">30.14.2</a> <dt>IsNearAdditiveElementWithInverse <a href="CHAP030.htm#SSEC014.6">30.14.6</a> <dt>IsNearAdditiveElementWithZero <a href="CHAP030.htm#SSEC014.4">30.14.4</a> <dt>IsNearAdditiveGroup <a href="CHAP053.htm#SSEC001.3">53.1.3</a> <dt>IsNearAdditiveMagma <a href="CHAP053.htm#SSEC001.1">53.1.1</a> <dt>IsNearAdditiveMagmaWithInverses <a href="CHAP053.htm#SSEC001.3">53.1.3</a> <dt>IsNearAdditiveMagmaWithZero <a href="CHAP053.htm#SSEC001.2">53.1.2</a> <dt>IsNearlyCharacterTable <a href="CHAP069.htm#SSEC004.1">69.4.1</a> <dt>IsNearRingElement <a href="CHAP030.htm#SSEC014.15">30.14.15</a> <dt>IsNearRingElementWithInverse <a href="CHAP030.htm#SSEC014.19">30.14.19</a> <dt>IsNearRingElementWithOne <a href="CHAP030.htm#SSEC014.17">30.14.17</a> <dt>IsNegRat <a href="CHAP016.htm#SSEC001.3">16.1.3</a> <dt>IsNilpotent, for character tables <a href="CHAP069.htm#I19">69.8</a> <dt>IsNilpotent, for groups with pcgs <a href="CHAP043.htm#I0">43.16</a> <dt>IsNilpotentElement <a href="CHAP061.htm#SSEC009.5">61.9.5</a> <dt>IsNilpotentGroup <a href="CHAP037.htm#SSEC015.3">37.15.3</a> <dt>IsNilpotentTom <a href="CHAP068.htm#SSEC008.1">68.8.1</a> <dt>IsNonassocWord <a href="CHAP034.htm#SSEC001.3">34.1.3</a> <dt>IsNonassocWordCollection <a href="CHAP034.htm#SSEC001.4">34.1.4</a> <dt>IsNonassocWordWithOne <a href="CHAP034.htm#SSEC001.3">34.1.3</a> <dt>IsNonassocWordWithOneCollection <a href="CHAP034.htm#SSEC001.4">34.1.4</a> <dt>IsNonnegativeIntegers <a href="CHAP014.htm#">14.0</a> <dt>IsNonSPGeneralMapping <a href="CHAP031.htm#SSEC013.1">31.13.1</a> <dt>IsNonTrivial <a href="CHAP028.htm#SSEC003.4">28.3.4</a> <dt>IsNormal <a href="CHAP037.htm#SSEC003.6">37.3.6</a> <dt>IsNormalBasis <a href="CHAP059.htm#SSEC006.3">59.6.3</a> <dt>IsNotIdenticalObj <a href="CHAP012.htm#SSEC005.2">12.5.2</a> <dt>IsNumberField <a href="CHAP058.htm#SSEC002.1">58.2.1</a> <dt>IsObject <a href="CHAP012.htm#SSEC001.1">12.1.1</a> <dt>IsOddInt <a href="CHAP014.htm#SSEC001.5">14.1.5</a> <dt>isomorphic, pc group <a href="CHAP044.htm#I0">44.4</a> <a href="CHAP044.htm#I1">44.5</a> <dt>IsomorphicSubgroups <a href="CHAP038.htm#SSEC009.3">38.9.3</a> <dt>IsomorphismFpAlgebra <a href="CHAP060.htm#SSEC009.9">60.9.9</a> <dt>IsomorphismFpGroup <a href="CHAP045.htm#SSEC010.1">45.10.1</a> <dt>IsomorphismFpGroup, for subgroups of fp groups <a href="CHAP045.htm#I1">45.11</a> <dt>IsomorphismFpGroupByGenerators <a href="CHAP045.htm#SSEC010.2">45.10.2</a> <dt>IsomorphismFpGroupByGeneratorsNC <a href="CHAP045.htm#SSEC010.2">45.10.2</a> <dt>IsomorphismFpGroupByPcgs <a href="CHAP044.htm#SSEC003.2">44.3.2</a> <dt>IsomorphismFpSemigroup <a href="CHAP051.htm#SSEC001.3">51.1.3</a> <dt>IsomorphismGroups <a href="CHAP038.htm#SSEC009.1">38.9.1</a> <dt>IsomorphismMatrixAlgebra <a href="CHAP060.htm#SSEC009.10">60.9.10</a> <dt>IsomorphismPcGroup <a href="CHAP044.htm#SSEC005.2">44.5.2</a> <dt>IsomorphismPermGroup <a href="CHAP041.htm#SSEC002.1">41.2.1</a> <dt>IsomorphismPermGroup, for Imf matrix groups <a href="CHAP048.htm#SSEC012.5">48.12.5</a> <dt>IsomorphismPermGroupImfGroup <a href="CHAP048.htm#SSEC012.6">48.12.6</a> <dt>IsomorphismReesMatrixSemigroup <a href="CHAP049.htm#SSEC006.11">49.6.11</a> <dt>IsomorphismRefinedPcGroup <a href="CHAP044.htm#SSEC004.8">44.4.8</a> <dt>IsomorphismRepStruct <a href="CHAP030.htm#SSEC005.1">30.5.1</a> <dt>isomorphisms, find all <a href="CHAP038.htm#I3">38.9</a> <dt>IsomorphismSCAlgebra <a href="CHAP060.htm#SSEC009.11">60.9.11</a> <dt>IsomorphismSimplifiedFpGroup <a href="CHAP045.htm#SSEC011.1">45.11.1</a> <dt>IsomorphismSpecialPcGroup <a href="CHAP044.htm#SSEC005.3">44.5.3</a> <dt>IsomorphismTransformationSemigroup <a href="CHAP049.htm#SSEC001.3">49.1.3</a> <dt>IsomorphismTypeInfoFiniteSimpleGroup <a href="CHAP037.htm#SSEC015.11">37.15.11</a> <dt>IsOne <a href="CHAP030.htm#SSEC010.5">30.10.5</a> <dt>IsOperation <a href="CHAP005.htm#SSEC004.2">5.4.2</a> <dt>IsOrdering <a href="CHAP029.htm#">29.0</a> <dt>IsOrderingOnFamilyOfAssocWords <a href="CHAP029.htm#SSEC003.1">29.3.1</a> <dt>IsOrdinaryMatrix <a href="CHAP024.htm#SSEC001.2">24.1.2</a> <dt>IsOrdinaryTable <a href="CHAP069.htm#SSEC004.1">69.4.1</a> <dt>IsOutputStream <a href="CHAP010.htm#SSEC001.6">10.1.6</a> <dt>IsOutputTextNone <a href="CHAP010.htm#SSEC001.8">10.1.8</a> <dt>IsOutputTextStream <a href="CHAP010.htm#SSEC001.7">10.1.7</a> <dt>IsPadicExtensionNumber <a href="CHAP066.htm#SSEC002.3">66.2.3</a> <dt>IsPadicExtensionNumberFamily <a href="CHAP066.htm#SSEC002.4">66.2.4</a> <dt>IsParentPcgsFamilyPcgs <a href="CHAP044.htm#SSEC001.4">44.1.4</a> <dt>IsPartialOrderBinaryRelation <a href="CHAP032.htm#SSEC002.6">32.2.6</a> <dt>IsPcGroup <a href="CHAP044.htm#SSEC003.1">44.3.1</a> <dt>IsPcGroupGeneralMappingByImages <a href="CHAP038.htm#SSEC010.7">38.10.7</a> <dt>IsPcGroupHomomorphismByImages <a href="CHAP038.htm#SSEC010.7">38.10.7</a> <dt>IsPcgs <a href="CHAP043.htm#SSEC002.2">43.2.2</a> <dt>IsPcgsCentralSeries <a href="CHAP043.htm#SSEC011.5">43.11.5</a> <dt>IsPcgsChiefSeries <a href="CHAP043.htm#SSEC011.13">43.11.13</a> <dt>IsPcgsElementaryAbelianSeries <a href="CHAP043.htm#SSEC011.1">43.11.1</a> <dt>IsPcgsPCentralSeriesPGroup <a href="CHAP043.htm#SSEC011.9">43.11.9</a> <dt>IsPerfect, for character tables <a href="CHAP069.htm#I20">69.8</a> <dt>IsPerfectGroup <a href="CHAP037.htm#SSEC015.5">37.15.5</a> <dt>IsPerfectTom <a href="CHAP068.htm#SSEC008.1">68.8.1</a> <dt>IsPerm <a href="CHAP040.htm#">40.0</a> <dt>IsPermCollColl <a href="CHAP040.htm#">40.0</a> <dt>IsPermCollection <a href="CHAP040.htm#">40.0</a> <dt>IsPermGroup <a href="CHAP041.htm#">41.0</a> <dt>IsPermGroupGeneralMappingByImages <a href="CHAP038.htm#SSEC010.4">38.10.4</a> <dt>IsPermGroupHomomorphismByImages <a href="CHAP038.htm#SSEC010.4">38.10.4</a> <dt>IsPGroup <a href="CHAP037.htm#SSEC015.14">37.15.14</a> <dt>IsPNilpotent <a href="CHAP037.htm#SSEC015.19">37.15.19</a> <dt>IsPolycyclicGroup <a href="CHAP037.htm#SSEC015.7">37.15.7</a> <dt>IsPolynomial <a href="CHAP064.htm#SSEC004.4">64.4.4</a> <dt>IsPolynomialDefaultRep <a href="CHAP064.htm#SSEC020.5">64.20.5</a> <dt>IsPolynomialFunction <a href="CHAP064.htm#SSEC004.1">64.4.1</a> <dt>IsPolynomialFunctionsFamily <a href="CHAP064.htm#SSEC018.2">64.18.2</a> <dt>IsPolynomialRing <a href="CHAP064.htm#SSEC014.4">64.14.4</a> <dt>IsPosInt <a href="CHAP014.htm#SSEC001.2">14.1.2</a> <dt>IsPositiveIntegers <a href="CHAP014.htm#">14.0</a> <dt>IsPosRat <a href="CHAP016.htm#SSEC001.2">16.1.2</a> <dt>IsPreimagesByAsGroupGeneralMappingByImages <a href="CHAP038.htm#SSEC010.3">38.10.3</a> <dt>IsPreOrderBinaryRelation <a href="CHAP032.htm#SSEC002.5">32.2.5</a> <dt>IsPrime <a href="CHAP054.htm#SSEC005.7">54.5.7</a> <dt>IsPrimeField <a href="CHAP056.htm#SSEC002.5">56.2.5</a> <dt>IsPrimeInt <a href="CHAP014.htm#SSEC003.2">14.3.2</a> <dt>IsPrimeOrdersPcgs <a href="CHAP043.htm#SSEC004.3">43.4.3</a> <dt>IsPrimePowerInt <a href="CHAP014.htm#SSEC003.3">14.3.3</a> <dt>IsPrimitive <a href="CHAP039.htm#SSEC009.7">39.9.7</a> <dt>IsPrimitiveCharacter <a href="CHAP072.htm#SSEC002.2">72.2.2</a> <dt>IsPrimitivePolynomial <a href="CHAP064.htm#SSEC004.12">64.4.12</a> <dt>IsPrimitiveRootMod <a href="CHAP015.htm#SSEC002.4">15.2.4</a> <dt>IsProbablyPrimeInt <a href="CHAP014.htm#SSEC003.2">14.3.2</a> <dt>IsPseudoCanonicalBasisFullHomModule <a href="CHAP059.htm#SSEC009.8">59.9.8</a> <dt>IsPSolvable <a href="CHAP037.htm#SSEC015.18">37.15.18</a> <dt>IsPSolvableCharacterTable <a href="CHAP069.htm#SSEC010.2">69.10.2</a> <dt>IsPSolvableCharacterTableOp <a href="CHAP069.htm#SSEC010.2">69.10.2</a> <dt>IsPurePadicNumber <a href="CHAP066.htm#SSEC001.5">66.1.5</a> <dt>IsPurePadicNumberFamily <a href="CHAP066.htm#SSEC001.6">66.1.6</a> <dt>IsQuasiPrimitive <a href="CHAP072.htm#SSEC002.3">72.2.3</a> <dt>IsQuaternion <a href="CHAP060.htm#SSEC007.8">60.7.8</a> <dt>IsQuaternionCollColl <a href="CHAP060.htm#SSEC007.8">60.7.8</a> <dt>IsQuaternionCollection <a href="CHAP060.htm#SSEC007.8">60.7.8</a> <dt>IsQuickPositionList <a href="CHAP021.htm#SSEC023.1">21.23.1</a> <dt>IsQuotientSemigroup <a href="CHAP049.htm#SSEC004.1">49.4.1</a> <dt>IsRandomSource <a href="CHAP014.htm#SSEC005.1">14.5.1</a> <dt>IsRange <a href="CHAP021.htm#SSEC022.1">21.22.1</a> <dt>IsRat <a href="CHAP016.htm#SSEC001.1">16.1.1</a> <dt>IsRationalFunction <a href="CHAP064.htm#SSEC004.1">64.4.1</a> <dt>IsRationalFunctionDefaultRep <a href="CHAP064.htm#SSEC020.1">64.20.1</a> <dt>IsRationalFunctionsFamily <a href="CHAP064.htm#SSEC018.2">64.18.2</a> <dt>IsRationalMatrixGroup <a href="CHAP042.htm#SSEC005.2">42.5.2</a> <dt>IsRationals <a href="CHAP016.htm#">16.0</a> <dt>IsRationalsPolynomialRing <a href="CHAP064.htm#SSEC014.7">64.14.7</a> <dt>IsRDistributive <a href="CHAP054.htm#SSEC004.4">54.4.4</a> <dt>IsReadableFile <a href="CHAP009.htm#SSEC006.2">9.6.2</a> <dt>IsReadOnlyGlobal <a href="CHAP004.htm#SSEC009.1">4.9.1</a> <dt>IsRecord <a href="CHAP027.htm#">27.0</a> <dt>IsRecordCollColl <a href="CHAP027.htm#">27.0</a> <dt>IsRecordCollection <a href="CHAP027.htm#">27.0</a> <dt>IsReduced <a href="CHAP036.htm#SSEC001.7">36.1.7</a> <dt>IsReductionOrdering <a href="CHAP029.htm#SSEC003.3">29.3.3</a> <dt>IsReesCongruence <a href="CHAP049.htm#SSEC003.2">49.3.2</a> <dt>IsReesCongruenceSemigroup <a href="CHAP049.htm#">49.0</a> <dt>IsReesMatrixSemigroup <a href="CHAP049.htm#SSEC006.3">49.6.3</a> <dt>IsReesMatrixSemigroupElement <a href="CHAP049.htm#SSEC006.6">49.6.6</a> <dt>IsReesZeroMatrixSemigroup <a href="CHAP049.htm#SSEC006.4">49.6.4</a> <dt>IsReesZeroMatrixSemigroupElement <a href="CHAP049.htm#SSEC006.6">49.6.6</a> <dt>IsReflexiveBinaryRelation <a href="CHAP032.htm#SSEC002.1">32.2.1</a> <dt>IsRegular <a href="CHAP039.htm#SSEC009.5">39.9.5</a> <dt>IsRegularDClass <a href="CHAP049.htm#SSEC005.12">49.5.12</a> <dt>IsRegularSemigroup <a href="CHAP049.htm#">49.0</a> <dt>IsRegularSemigroupElement <a href="CHAP049.htm#">49.0</a> <dt>IsRelativelySM <a href="CHAP072.htm#SSEC003.6">72.3.6</a> <dt>IsRestrictedLieAlgebra <a href="CHAP061.htm#SSEC008.1">61.8.1</a> <dt>IsRewritingSystem <a href="CHAP036.htm#SSEC001.1">36.1.1</a> <dt>IsRightAlgebraModuleElement <a href="CHAP060.htm#SSEC010.10">60.10.10</a> <dt>IsRightAlgebraModuleElementCollection <a href="CHAP060.htm#SSEC010.10">60.10.10</a> <dt>IsRightCoset <a href="CHAP037.htm#SSEC007.4">37.7.4</a> <dt>IsRightIdeal <a href="CHAP054.htm#SSEC002.3">54.2.3</a> <dt>IsRightIdealInParent <a href="CHAP054.htm#SSEC002.3">54.2.3</a> <dt>IsRightModule <a href="CHAP055.htm#SSEC001.7">55.1.7</a> <dt>IsRightOperatorAdditiveGroup <a href="CHAP055.htm#SSEC001.6">55.1.6</a> <dt>IsRightSemigroupIdeal <a href="CHAP049.htm#SSEC002.3">49.2.3</a> <dt>IsRing <a href="CHAP054.htm#SSEC001.1">54.1.1</a> <dt>IsRingElement <a href="CHAP030.htm#SSEC014.16">30.14.16</a> <dt>IsRingElementWithInverse <a href="CHAP030.htm#SSEC014.20">30.14.20</a> <dt>IsRingElementWithOne <a href="CHAP030.htm#SSEC014.18">30.14.18</a> <dt>IsRingGeneralMapping <a href="CHAP031.htm#SSEC011.1">31.11.1</a> <dt>IsRingHomomorphism <a href="CHAP031.htm#SSEC011.1">31.11.1</a> <dt>IsRingWithOne <a href="CHAP054.htm#SSEC003.1">54.3.1</a> <dt>IsRingWithOneGeneralMapping <a href="CHAP031.htm#SSEC011.2">31.11.2</a> <dt>IsRingWithOneHomomorphism <a href="CHAP031.htm#SSEC011.2">31.11.2</a> <dt>IsRootSystem <a href="CHAP061.htm#SSEC007.3">61.7.3</a> <dt>IsRootSystemFromLieAlgebra <a href="CHAP061.htm#SSEC007.4">61.7.4</a> <dt>IsRowModule <a href="CHAP055.htm#SSEC003.7">55.3.7</a> <dt>IsRowSpace <a href="CHAP059.htm#SSEC008.1">59.8.1</a> <dt>IsRowVector <a href="CHAP023.htm#">23.0</a> <dt>IsScalar <a href="CHAP030.htm#SSEC014.20">30.14.20</a> <dt>IsSemiEchelonized <a href="CHAP059.htm#SSEC008.7">59.8.7</a> <dt>IsSemigroup <a href="CHAP049.htm#">49.0</a> <dt>IsSemigroupCongruence <a href="CHAP049.htm#SSEC003.1">49.3.1</a> <dt>IsSemigroupIdeal <a href="CHAP049.htm#SSEC002.3">49.2.3</a> <dt>IsSemiRegular <a href="CHAP039.htm#SSEC009.4">39.9.4</a> <dt>IsSet <a href="CHAP021.htm#SSEC017.4">21.17.4</a> <dt>IsShortLexLessThanOrEqual <a href="CHAP035.htm#SSEC003.3">35.3.3</a> <dt>IsShortLexOrdering <a href="CHAP029.htm#SSEC003.7">29.3.7</a> <dt>IsSimple, for character tables <a href="CHAP069.htm#I21">69.8</a> <dt>IsSimpleAlgebra <a href="CHAP060.htm#SSEC007.6">60.7.6</a> <dt>IsSimpleGroup <a href="CHAP037.htm#SSEC015.10">37.15.10</a> <dt>IsSimpleSemigroup <a href="CHAP049.htm#">49.0</a> <dt>IsSingleValued <a href="CHAP031.htm#SSEC002.2">31.2.2</a> <dt>IsSL <a href="CHAP042.htm#SSEC003.3">42.3.3</a> <dt>IsSolvable, for character tables <a href="CHAP069.htm#I22">69.8</a> <dt>IsSolvableGroup <a href="CHAP037.htm#SSEC015.6">37.15.6</a> <dt>IsSolvableTom <a href="CHAP068.htm#SSEC008.1">68.8.1</a> <dt>IsSortedList <a href="CHAP021.htm#SSEC017.3">21.17.3</a> <dt>IsSpecialLinearGroup <a href="CHAP042.htm#SSEC003.3">42.3.3</a> <dt>IsSpecialPcgs <a href="CHAP043.htm#SSEC013.1">43.13.1</a> <dt>IsSPGeneralMapping <a href="CHAP031.htm#SSEC013.1">31.13.1</a> <dt>IsSporadicSimple, for character tables <a href="CHAP069.htm#I23">69.8</a> <dt>IsSSortedList <a href="CHAP021.htm#SSEC017.4">21.17.4</a> <dt>IsStandardGeneratorsOfGroup <a href="CHAP068.htm#SSEC010.4">68.10.4</a> <dt>IsStraightLineProgElm <a href="CHAP035.htm#SSEC009.1">35.9.1</a> <dt>IsStraightLineProgram <a href="CHAP035.htm#SSEC008.1">35.8.1</a> <dt>IsStream <a href="CHAP010.htm#SSEC001.1">10.1.1</a> <dt>IsString <a href="CHAP026.htm#">26.0</a> <dt>IsStringRep <a href="CHAP026.htm#SSEC002.1">26.2.1</a> <dt>IsStruct <a href="CHAP030.htm#SSEC006.1">30.6.1</a> <dt>IsSubgroup <a href="CHAP037.htm#SSEC003.5">37.3.5</a> <dt>IsSubgroupFpGroup <a href="CHAP045.htm#">45.0</a> <dt>IsSubgroupOfWholeGroupByQuotientRep <a href="CHAP045.htm#SSEC012.2">45.12.2</a> <dt>IsSubgroupSL <a href="CHAP042.htm#SSEC003.5">42.3.5</a> <dt>IsSubmonoidFpMonoid <a href="CHAP051.htm#">51.0</a> <dt>IsSubnormal <a href="CHAP037.htm#SSEC003.10">37.3.10</a> <dt>IsSubnormallyMonomial <a href="CHAP072.htm#SSEC003.5">72.3.5</a> <dt>IsSubsemigroupFpSemigroup <a href="CHAP051.htm#">51.0</a> <dt>IsSubset <a href="CHAP028.htm#SSEC004.1">28.4.1</a> <dt>IsSubsetBlist <a href="CHAP022.htm#SSEC001.4">22.1.4</a> <dt>IsSubsetLocallyFiniteGroup <a href="CHAP037.htm#SSEC015.13">37.15.13</a> <dt>IsSubsetSet <a href="CHAP021.htm#SSEC019.3">21.19.3</a> <dt>IsSubspacesVectorSpace <a href="CHAP059.htm#SSEC003.2">59.3.2</a> <dt>IsSubstruct <a href="CHAP030.htm#SSEC008.4">30.8.4</a> <dt>IsSupersolvable, for character tables <a href="CHAP069.htm#I24">69.8</a> <dt>IsSupersolvable, for groups with pcgs <a href="CHAP043.htm#I1">43.16</a> <dt>IsSupersolvableGroup <a href="CHAP037.htm#SSEC015.8">37.15.8</a> <dt>IsSurjective <a href="CHAP031.htm#SSEC002.5">31.2.5</a> <dt>IsSyllableAssocWordRep <a href="CHAP035.htm#SSEC006.5">35.6.5</a> <dt>IsSyllableWordsFamily <a href="CHAP035.htm#SSEC006.6">35.6.6</a> <dt>IsSymmetricBinaryRelation <a href="CHAP032.htm#SSEC002.2">32.2.2</a> <dt>IsSymmetricGroup <a href="CHAP041.htm#SSEC003.3">41.3.3</a> <dt>IsTable <a href="CHAP021.htm#SSEC001.4">21.1.4</a> <dt>IsTableOfMarks <a href="CHAP068.htm#SSEC006.2">68.6.2</a> <dt>IsTableOfMarksWithGens <a href="CHAP068.htm#SSEC011.3">68.11.3</a> <dt>IsToPcGroupGeneralMappingByImages <a href="CHAP038.htm#SSEC010.8">38.10.8</a> <dt>IsToPcGroupHomomorphismByImages <a href="CHAP038.htm#SSEC010.8">38.10.8</a> <dt>IsToPermGroupGeneralMappingByImages <a href="CHAP038.htm#SSEC010.5">38.10.5</a> <dt>IsToPermGroupHomomorphismByImages <a href="CHAP038.htm#SSEC010.5">38.10.5</a> <dt>IsTotal <a href="CHAP031.htm#SSEC002.1">31.2.1</a> <dt>IsTotalOrdering <a href="CHAP029.htm#SSEC002.2">29.2.2</a> <dt>IsTransformation <a href="CHAP052.htm#">52.0</a> <dt>IsTransformationCollection <a href="CHAP052.htm#">52.0</a> <dt>IsTransformationMonoid <a href="CHAP049.htm#SSEC001.1">49.1.1</a> <dt>IsTransformationSemigroup <a href="CHAP049.htm#SSEC001.1">49.1.1</a> <dt>IsTransitive, for characters <a href="CHAP070.htm#SSEC008.15">70.8.15</a> <dt>IsTransitive, for class functions <a href="CHAP070.htm#I28">70.8</a> <dt>IsTransitive, for group actions <a href="CHAP039.htm#SSEC009.1">39.9.1</a> <dt>IsTransitiveBinaryRelation <a href="CHAP032.htm#SSEC002.3">32.2.3</a> <dt>IsTranslationInvariantOrdering <a href="CHAP029.htm#SSEC003.2">29.3.2</a> <dt>IsTrivial <a href="CHAP028.htm#SSEC003.3">28.3.3</a> <dt>IsTuple <a href="CHAP031.htm#">31.0</a> <dt>IsTwoSidedIdeal <a href="CHAP054.htm#SSEC002.3">54.2.3</a> <dt>IsTwoSidedIdealInParent <a href="CHAP054.htm#SSEC002.3">54.2.3</a> <dt>IsUEALatticeElement <a href="CHAP061.htm#SSEC013.5">61.13.5</a> <dt>IsUEALatticeElementCollection <a href="CHAP061.htm#SSEC013.5">61.13.5</a> <dt>IsUEALatticeElementFamily <a href="CHAP061.htm#SSEC013.5">61.13.5</a> <dt>IsUniqueFactorizationRing <a href="CHAP054.htm#SSEC004.2">54.4.2</a> <dt>IsUnit <a href="CHAP054.htm#SSEC005.1">54.5.1</a> <dt>IsUnivariatePolynomial <a href="CHAP064.htm#SSEC004.8">64.4.8</a> <dt>IsUnivariatePolynomialRing <a href="CHAP064.htm#SSEC015.2">64.15.2</a> <dt>IsUnivariateRationalFunction <a href="CHAP064.htm#SSEC004.6">64.4.6</a> <dt>IsUnknown <a href="CHAP019.htm#">19.0</a> <dt>IsUpperAlphaChar <a href="CHAP026.htm#SSEC003.3">26.3.3</a> <dt>IsUpperTriangularMat <a href="CHAP024.htm#SSEC003.9">24.3.9</a> <dt>IsValidIdentifier <a href="CHAP004.htm#SSEC006.1">4.6.1</a> <dt>IsVector <a href="CHAP030.htm#SSEC014.14">30.14.14</a> <dt>IsVectorSpace <a href="CHAP059.htm#">59.0</a> <dt>IsVirtualCharacter <a href="CHAP070.htm#SSEC008.2">70.8.2</a> <dt>IsWeightLexOrdering <a href="CHAP029.htm#SSEC003.9">29.3.9</a> <dt>IsWeightRepElement <a href="CHAP061.htm#SSEC013.8">61.13.8</a> <dt>IsWeightRepElementCollection <a href="CHAP061.htm#SSEC013.8">61.13.8</a> <dt>IsWeightRepElementFamily <a href="CHAP061.htm#SSEC013.8">61.13.8</a> <dt>IsWellFoundedOrdering <a href="CHAP029.htm#SSEC002.1">29.2.1</a> <dt>IsWeylGroup <a href="CHAP061.htm#SSEC007.15">61.7.15</a> <dt>IsWholeFamily <a href="CHAP028.htm#SSEC003.5">28.3.5</a> <dt>IsWLetterAssocWordRep <a href="CHAP035.htm#SSEC006.3">35.6.3</a> <dt>IsWLetterWordsFamily <a href="CHAP035.htm#SSEC006.4">35.6.4</a> <dt>IsWord <a href="CHAP034.htm#SSEC001.1">34.1.1</a> <dt>IsWordCollection <a href="CHAP034.htm#SSEC001.2">34.1.2</a> <dt>IsWordWithInverse <a href="CHAP034.htm#SSEC001.1">34.1.1</a> <dt>IsWordWithOne <a href="CHAP034.htm#SSEC001.1">34.1.1</a> <dt>IsWreathProductOrdering <a href="CHAP029.htm#SSEC003.14">29.3.14</a> <dt>IsWritableFile <a href="CHAP009.htm#SSEC006.3">9.6.3</a> <dt>IsZero <a href="CHAP030.htm#SSEC010.6">30.10.6</a> <dt>IsZeroGroup <a href="CHAP049.htm#">49.0</a> <dt>IsZeroSimpleSemigroup <a href="CHAP049.htm#">49.0</a> <dt>IsZeroSquaredElement <a href="CHAP030.htm#SSEC015.6">30.15.6</a> <dt>IsZeroSquaredElementCollColl <a href="CHAP030.htm#SSEC015.6">30.15.6</a> <dt>IsZeroSquaredElementCollection <a href="CHAP030.htm#SSEC015.6">30.15.6</a> <dt>IsZeroSquaredRing <a href="CHAP054.htm#SSEC004.7">54.4.7</a> <dt>IsZmodnZObj <a href="CHAP014.htm#SSEC004.4">14.4.4</a> <dt>IsZmodnZObjNonprime <a href="CHAP014.htm#SSEC004.4">14.4.4</a> <dt>IsZmodpZObj <a href="CHAP014.htm#SSEC004.4">14.4.4</a> <dt>IsZmodpZObjLarge <a href="CHAP014.htm#SSEC004.4">14.4.4</a> <dt>IsZmodpZObjSmall <a href="CHAP014.htm#SSEC004.4">14.4.4</a> <dt>Iterated <a href="CHAP021.htm#SSEC020.25">21.20.25</a> <dt>Iterator <a href="CHAP028.htm#SSEC007.1">28.7.1</a> <dt>iterator, for low index subgroups <a href="CHAP045.htm#I0">45.9</a> <dt>IteratorByBasis <a href="CHAP059.htm#SSEC005.6">59.5.6</a> <dt>IteratorByFunctions <a href="CHAP028.htm#SSEC007.8">28.7.8</a> <dt>IteratorList <a href="CHAP028.htm#SSEC007.6">28.7.6</a> <dt>Iterators <a href="CHAP028.htm#SECT007">28.7</a> <dt>IteratorSorted <a href="CHAP028.htm#SSEC007.2">28.7.2</a> </dl><p> [<a href="../index.htm">Top</a>] [<a href="chapters.htm">Up</a>]<p> <P> <font face="Gill Sans,Helvetica,Arial">GAP 4 manual<br>December 2008 </font></body></html>