<html><head><title>The GAP 4 Reference Manual - Index S</title></head> <body text="#000000" bgcolor="#ffffff"> <h1>The <font face="Gill Sans,Helvetica,Arial">GAP</font> 4 Reference Manual - Index S</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>s_N <a href="CHAP018.htm#I20">18.4</a> <dt>SameBlock <a href="CHAP069.htm#SSEC009.2">69.9.2</a> <dt>SandwichMatrixOfReesMatrixSemigroup <a href="CHAP049.htm#SSEC006.7">49.6.7</a> <dt>SandwichMatrixOfReesZeroMatrixSemigroup <a href="CHAP049.htm#SSEC006.7">49.6.7</a> <dt>save <a href="CHAP003.htm#I57">3.11</a> <dt>SaveOnExitFile <a href="CHAP006.htm#SSEC008.3">6.8.3</a> <dt>SaveWorkspace <a href="CHAP003.htm#SSEC011.1">3.11.1</a> <dt>Saving a Pc Group <a href="CHAP044.htm#SECT006">44.6</a> <dt>Saving and Loading a Workspace <a href="CHAP003.htm#SECT011">3.11</a> <dt>saving on exit <a href="CHAP006.htm#I16">6.8</a> <dt>ScalarProduct, for characters <a href="CHAP070.htm#SSEC008.5">70.8.5</a> <dt>Schreier <a href="CHAP046.htm#I0">46.3</a> <dt>Schreier-Sims, random <a href="CHAP041.htm#I0">41.6</a> <dt>Schur Covers and Multipliers <a href="CHAP037.htm#SECT024">37.24</a> <dt>Schur multiplier <a href="CHAP037.htm#I14">37.24</a> <dt>SchurCover <a href="CHAP037.htm#SSEC024.2">37.24.2</a> <dt>scope <a href="CHAP004.htm#I7">4.8</a> <dt>ScriptFromString <a href="CHAP068.htm#SSEC010.2">68.10.2</a> <dt>Searching for Homomorphisms <a href="CHAP038.htm#SECT009">38.9</a> <dt>SecHMSM <a href="CHAP026.htm#SSEC008.8">26.8.8</a> <dt>secondary subgroup generators <a href="CHAP046.htm#I1">46.11</a> <dt>SecondsDMYhms <a href="CHAP026.htm#SSEC008.10">26.8.10</a> <dt>SeekPositionStream <a href="CHAP010.htm#SSEC003.10">10.3.10</a> <dt>Selecting a Different MeatAxe <a href="CHAP067.htm#SECT003">67.3</a> <dt>Selection Functions <a href="CHAP048.htm#SECT005">48.5</a> <dt>Semidirect Products <a href="CHAP047.htm#SECT002">47.2</a> <dt>SemidirectProduct <a href="CHAP047.htm#SSEC002.1">47.2.1</a> <dt>SemiEchelonBasis <a href="CHAP059.htm#SSEC008.8">59.8.8</a> <dt>SemiEchelonBasisNC <a href="CHAP059.htm#SSEC008.8">59.8.8</a> <dt>SemiEchelonMat <a href="CHAP024.htm#SSEC009.1">24.9.1</a> <dt>SemiEchelonMatDestructive <a href="CHAP024.htm#SSEC009.2">24.9.2</a> <dt>SemiEchelonMats <a href="CHAP024.htm#SSEC009.4">24.9.4</a> <dt>SemiEchelonMatsDestructive <a href="CHAP024.htm#SSEC009.5">24.9.5</a> <dt>SemiEchelonMatTransformation <a href="CHAP024.htm#SSEC009.3">24.9.3</a> <dt>Semigroup <a href="CHAP049.htm#">49.0</a> <a href="CHAP049.htm#">49.0</a> <dt>semigroup <a href="CHAP049.htm#I0">49.0</a> <dt>SemigroupByGenerators <a href="CHAP049.htm#">49.0</a> <dt>SemigroupByMultiplicationTable <a href="CHAP049.htm#">49.0</a> <dt>SemigroupIdealByGenerators <a href="CHAP049.htm#SSEC002.1">49.2.1</a> <dt>SemigroupOfRewritingSystem <a href="CHAP051.htm#SSEC005.4">51.5.4</a> <dt>Semigroups <a href="CHAP049.htm">49.0</a> <dt>semiregular <a href="CHAP039.htm#I16">39.9</a> <dt>Semisimple Lie Algebras and Root Systems <a href="CHAP061.htm#SECT007">61.7</a> <dt>SemiSimpleType <a href="CHAP061.htm#SSEC007.1">61.7.1</a> <dt>sequence, Bernoulli <a href="CHAP017.htm#I3">17.1</a> <dt>sequence, Fibonacci <a href="CHAP017.htm#I14">17.3</a> <dt>sequence, Lucas <a href="CHAP017.htm#I15">17.3</a> <dt>Series of Ideals <a href="CHAP061.htm#SECT004">61.4</a> <dt>Set <a href="CHAP028.htm#SSEC002.6">28.2.6</a> <dt>set difference, of collections <a href="CHAP028.htm#I9">28.4</a> <dt>Set Operations via Boolean Lists <a href="CHAP022.htm#SECT002">22.2</a> <dt>set stabilizer <a href="CHAP039.htm#I11">39.4</a> <dt>SetAssertionLevel <a href="CHAP007.htm#SSEC005.1">7.5.1</a> <dt>SetCommutator <a href="CHAP044.htm#SSEC004.4">44.4.4</a> <dt>SetConjugate <a href="CHAP044.htm#SSEC004.3">44.4.3</a> <dt>SetCrystGroupDefaultAction <a href="CHAP042.htm#SSEC006.2">42.6.2</a> <dt>SetEntrySCTable <a href="CHAP060.htm#SSEC003.2">60.3.2</a> <dt>SetGasmanMessageStatus <a href="CHAP007.htm#SSEC011.2">7.11.2</a> <dt>SetHelpViewer <a href="CHAP002.htm#SSEC003.1">2.3.1</a> <dt>SetIndeterminateName <a href="CHAP064.htm#SSEC001.4">64.1.4</a> <dt>SetInfoLevel <a href="CHAP007.htm#SSEC004.3">7.4.3</a> <dt>SetName <a href="CHAP012.htm#SSEC008.1">12.8.1</a> <dt>SetParent <a href="CHAP030.htm#SSEC007.1">30.7.1</a> <dt>SetPower <a href="CHAP044.htm#SSEC004.5">44.4.5</a> <dt>SetPrintFormattingStatus <a href="CHAP010.htm#SSEC004.8">10.4.8</a> <dt>SetRecursionTrapInterval <a href="CHAP007.htm#SSEC010.1">7.10.1</a> <dt>SetReducedMultiplication <a href="CHAP045.htm#SSEC002.4">45.2.4</a> <dt>Sets <a href="CHAP012.htm#SECT003">12.3</a> <dt>sets <a href="CHAP021.htm#I18">21.19</a> <dt>Sets of Subgroups <a href="CHAP037.htm#SECT019">37.19</a> <dt>Setter <a href="CHAP013.htm#SSEC006.2">13.6.2</a> <dt>setter <a href="CHAP013.htm#I1">13.6</a> <dt>Setter and Tester for Attributes <a href="CHAP013.htm#SECT006">13.6</a> <dt>SetX <a href="CHAP021.htm#SSEC021.2">21.21.2</a> <dt>ShallowCopy <a href="CHAP012.htm#SSEC007.1">12.7.1</a> <dt>ShallowCopy, for lists <a href="CHAP021.htm#I3">21.7</a> <dt>ShiftedCoeffs <a href="CHAP023.htm#SSEC006.6">23.6.6</a> <dt>ShiftedPadicNumber <a href="CHAP066.htm#SSEC001.4">66.1.4</a> <dt>Shifting and Trimming Coefficient Lists <a href="CHAP023.htm#SECT004">23.4</a> <dt>short vectors spanning a lattice <a href="CHAP025.htm#I4">25.5</a> <a href="CHAP070.htm#I34">70.10</a> <dt>ShortestVectors <a href="CHAP025.htm#SSEC006.2">25.6.2</a> <dt>ShortLexOrdering <a href="CHAP029.htm#SSEC003.6">29.3.6</a> <dt>ShowArgument <a href="CHAP007.htm#SSEC001.2">7.1.2</a> <dt>ShowArguments <a href="CHAP007.htm#SSEC001.1">7.1.1</a> <dt>ShowDetails <a href="CHAP007.htm#SSEC001.3">7.1.3</a> <dt>ShowImpliedFilters <a href="CHAP013.htm#SSEC002.3">13.2.3</a> <dt>ShowMethods <a href="CHAP007.htm#SSEC001.4">7.1.4</a> <dt>ShowOtherMethods <a href="CHAP007.htm#SSEC001.5">7.1.5</a> <dt>ShrinkAllocationPlist <a href="CHAP021.htm#SSEC009.2">21.9.2</a> <dt>ShrinkAllocationString <a href="CHAP026.htm#SSEC002.5">26.2.5</a> <dt>ShrinkCoeffs <a href="CHAP023.htm#SSEC006.7">23.6.7</a> <dt>ShrinkRowVector <a href="CHAP023.htm#SSEC004.3">23.4.3</a> <dt>SiftedPcElement <a href="CHAP043.htm#SSEC005.8">43.5.8</a> <dt>SiftedPermutation <a href="CHAP041.htm#SSEC009.11">41.9.11</a> <dt>SiftedVector <a href="CHAP059.htm#SSEC008.12">59.8.12</a> <dt>Sigma <a href="CHAP015.htm#SSEC004.1">15.4.1</a> <dt>Sign and Cycle Structure <a href="CHAP040.htm#SECT003">40.3</a> <dt>sign, of an integer <a href="CHAP014.htm#I1">14.1</a> <dt>SignInt <a href="CHAP014.htm#SSEC001.7">14.1.7</a> <dt>SignPartition <a href="CHAP017.htm#SSEC002.23">17.2.23</a> <dt>SignPerm <a href="CHAP040.htm#SSEC003.1">40.3.1</a> <dt>SimpleLieAlgebra <a href="CHAP061.htm#SSEC002.6">61.2.6</a> <dt>SimpleSystem <a href="CHAP061.htm#SSEC007.11">61.7.11</a> <dt>SimplifiedFpGroup <a href="CHAP046.htm#SECT002">46.2</a> <a href="CHAP046.htm#SSEC002.1">46.2.1</a> <dt>SimplifyPresentation <a href="CHAP046.htm#SSEC007.2">46.7.2</a> <dt>SimsNo <a href="CHAP048.htm#SSEC010.2">48.10.2</a> <dt>SimultaneousEigenvalues <a href="CHAP024.htm#SSEC013.4">24.13.4</a> <dt>SingleCollector <a href="CHAP044.htm#SSEC004.2">44.4.2</a> <dt>singlequote character <a href="CHAP026.htm#I10">26.1</a> <dt>singlequotes <a href="CHAP026.htm#I2">26.0</a> <dt>SINT_CHAR <a href="CHAP026.htm#SSEC006.3">26.6.3</a> <dt>Size <a href="CHAP028.htm#SSEC003.6">28.3.6</a> <dt>Size, for character tables <a href="CHAP069.htm#I26">69.8</a> <dt>Size, for groups with pcgs <a href="CHAP043.htm#I2">43.16</a> <dt>size, of a list or collection <a href="CHAP028.htm#I3">28.3</a> <dt>SizeBlist <a href="CHAP022.htm#SSEC001.3">22.1.3</a> <dt>SizeConsiderFunction <a href="CHAP037.htm#SSEC021.4">37.21.4</a> <dt>SizeNumbersPerfectGroups <a href="CHAP048.htm#SSEC008.6">48.8.6</a> <dt>SizeOfFieldOfDefinition <a href="CHAP070.htm#SSEC015.3">70.15.3</a> <dt>SizesCentralizers <a href="CHAP069.htm#SSEC008.6">69.8.6</a> <dt>SizesConjugacyClasses <a href="CHAP069.htm#SSEC008.7">69.8.7</a> <dt>SizeScreen <a href="CHAP006.htm#SECT012">6.12</a> <a href="CHAP006.htm#SSEC012.1">6.12.1</a> <dt>SizesPerfectGroups <a href="CHAP048.htm#SSEC008.1">48.8.1</a> <dt>SizeStabChain <a href="CHAP041.htm#SSEC009.3">41.9.3</a> <dt>SL <a href="CHAP048.htm#SSEC002.2">48.2.2</a> <dt>Small Groups <a href="CHAP048.htm#SECT007">48.7</a> <dt>smaller or equal <a href="CHAP004.htm#SSEC011.2">4.11.2</a> <dt>smaller test <a href="CHAP004.htm#SSEC011.2">4.11.2</a> <dt>smaller, associative words <a href="CHAP035.htm#SSEC003.2">35.3.2</a> <dt>smaller, elements of finitely presented groups <a href="CHAP045.htm#SSEC002.2">45.2.2</a> <dt>smaller, nonassociative words <a href="CHAP034.htm#SSEC002.2">34.2.2</a> <dt>smaller, pcwords <a href="CHAP044.htm#SSEC002.1">44.2.1</a> <dt>smaller, rational functions <a href="CHAP064.htm#SSEC003.2">64.3.2</a> <dt>SmallerDegreePermutationRepresentation <a href="CHAP041.htm#SSEC002.2">41.2.2</a> <dt>SmallestGeneratorPerm <a href="CHAP040.htm#SSEC001.2">40.1.2</a> <dt>SmallestMovedPoint <a href="CHAP040.htm#SSEC002.1">40.2.1</a> <dt>SmallestRootInt <a href="CHAP014.htm#SSEC001.10">14.1.10</a> <dt>SmallGeneratingSet <a href="CHAP037.htm#SSEC022.4">37.22.4</a> <dt>SmallGroup <a href="CHAP048.htm#SSEC007.1">48.7.1</a> <dt>SmallGroupsInformation <a href="CHAP048.htm#SSEC007.8">48.7.8</a> <dt>Smash MeatAxe Flags <a href="CHAP067.htm#SECT011">67.11</a> <dt>Smith normal form <a href="CHAP075.htm#I16">75.3</a> <dt>SmithNormalFormIntegerMat <a href="CHAP025.htm#SSEC002.6">25.2.6</a> <dt>SmithNormalFormIntegerMatTransforms <a href="CHAP025.htm#SSEC002.7">25.2.7</a> <dt>SMTX.AbsoluteIrreducibilityTest <a href="CHAP067.htm#SSEC010.8">67.10.8</a> <dt>SMTX.AlgEl <a href="CHAP067.htm#SSEC011.2">67.11.2</a> <dt>SMTX.AlgElCharPol <a href="CHAP067.htm#SSEC011.4">67.11.4</a> <dt>SMTX.AlgElCharPolFac <a href="CHAP067.htm#SSEC011.5">67.11.5</a> <dt>SMTX.AlgElMat <a href="CHAP067.htm#SSEC011.3">67.11.3</a> <dt>SMTX.AlgElNullspaceDimension <a href="CHAP067.htm#SSEC011.7">67.11.7</a> <dt>SMTX.AlgElNullspaceVec <a href="CHAP067.htm#SSEC011.6">67.11.6</a> <dt>SMTX.CentMat <a href="CHAP067.htm#SSEC011.8">67.11.8</a> <dt>SMTX.CentMatMinPoly <a href="CHAP067.htm#SSEC011.9">67.11.9</a> <dt>SMTX.CompleteBasis <a href="CHAP067.htm#SSEC010.11">67.10.11</a> <dt>SMTX.Getter <a href="CHAP067.htm#SSEC010.6">67.10.6</a> <dt>SMTX.GoodElementGModule <a href="CHAP067.htm#SSEC010.2">67.10.2</a> <dt>SMTX.IrreducibilityTest <a href="CHAP067.htm#SSEC010.7">67.10.7</a> <dt>SMTX.MatrixSum <a href="CHAP067.htm#SSEC010.10">67.10.10</a> <dt>SMTX.MinimalSubGModule <a href="CHAP067.htm#SSEC010.9">67.10.9</a> <dt>SMTX.MinimalSubGModules <a href="CHAP067.htm#SSEC010.4">67.10.4</a> <dt>SMTX.RandomIrreducibleSubGModule <a href="CHAP067.htm#SSEC010.1">67.10.1</a> <dt>SMTX.Setter <a href="CHAP067.htm#SSEC010.5">67.10.5</a> <dt>SMTX.SortHomGModule <a href="CHAP067.htm#SSEC010.3">67.10.3</a> <dt>SMTX.Subbasis <a href="CHAP067.htm#SSEC011.1">67.11.1</a> <dt>SO <a href="CHAP048.htm#SSEC002.7">48.2.7</a> <dt>Socle <a href="CHAP037.htm#SSEC012.10">37.12.10</a> <dt>SocleTypePrimitiveGroup <a href="CHAP041.htm#SSEC004.2">41.4.2</a> <dt>SolutionIntMat <a href="CHAP025.htm#SSEC001.2">25.1.2</a> <dt>SolutionMat <a href="CHAP024.htm#SSEC006.5">24.6.5</a> <dt>SolutionMatDestructive <a href="CHAP024.htm#SSEC006.6">24.6.6</a> <dt>SolutionNullspaceIntMat <a href="CHAP025.htm#SSEC001.3">25.1.3</a> <dt>Some Remarks about Character Theory in GAP <a href="CHAP069.htm#SECT001">69.1</a> <dt>Some Special Algebras <a href="CHAP060.htm#SECT004">60.4</a> <dt>Sort <a href="CHAP021.htm#SSEC018.1">21.18.1</a> <dt>Sorted Character Tables <a href="CHAP069.htm#SECT019">69.19</a> <dt>sorted list <a href="CHAP021.htm#I16">21.17</a> <dt>Sorted Lists and Sets <a href="CHAP021.htm#SECT019">21.19</a> <dt>Sorted Lists as Collections <a href="CHAP028.htm#I0">28.2</a> <dt>SortedCharacters <a href="CHAP069.htm#SSEC019.2">69.19.2</a> <dt>SortedCharacterTable <a href="CHAP069.htm#SSEC019.4">69.19.4</a> <dt>SortedList <a href="CHAP028.htm#SSEC002.5">28.2.5</a> <dt>SortedSparseActionHomomorphism <a href="CHAP039.htm#SSEC006.3">39.6.3</a> <dt>SortedTom <a href="CHAP068.htm#SSEC005.1">68.5.1</a> <dt>Sortex <a href="CHAP021.htm#SSEC018.3">21.18.3</a> <dt>Sorting Lists <a href="CHAP021.htm#SECT018">21.18</a> <dt>Sorting Tables of Marks <a href="CHAP068.htm#SECT005">68.5</a> <dt>SortingPerm <a href="CHAP021.htm#SSEC018.4">21.18.4</a> <dt>SortParallel <a href="CHAP021.htm#SSEC018.2">21.18.2</a> <dt>Source <a href="CHAP031.htm#SSEC002.8">31.2.8</a> <dt>SourceOfIsoclinicTable <a href="CHAP069.htm#SSEC018.5">69.18.5</a> <dt>SP <a href="CHAP048.htm#SSEC002.5">48.2.5</a> <dt>Sp <a href="CHAP048.htm#SSEC002.5">48.2.5</a> <dt>space <a href="CHAP004.htm#I0">4.4</a> <dt>SparseActionHomomorphism <a href="CHAP039.htm#SSEC006.3">39.6.3</a> <dt>SparseCartanMatrix <a href="CHAP061.htm#SSEC007.16">61.7.16</a> <dt>special character sequences <a href="CHAP026.htm#I4">26.1</a> <dt>Special Characters <a href="CHAP026.htm#SECT001">26.1</a> <dt>Special Filenames <a href="CHAP009.htm#SECT005">9.5</a> <dt>Special Generating Sets <a href="CHAP037.htm#SECT022">37.22</a> <dt>Special Multiplication Algorithms for Matrices over GF(2) <a href="CHAP024.htm#SECT014">24.14</a> <dt>Special Pcgs <a href="CHAP043.htm#SECT013">43.13</a> <dt>Special Rules for Input Lines <a href="CHAP006.htm#SECT002">6.2</a> <dt>SpecialLinearGroup <a href="CHAP048.htm#SSEC002.2">48.2.2</a> <dt>SpecialOrthogonalGroup <a href="CHAP048.htm#SSEC002.7">48.2.7</a> <dt>SpecialPcgs, attribute <a href="CHAP043.htm#SSEC013.2">43.13.2</a> <dt>SpecialUnitaryGroup <a href="CHAP048.htm#SSEC002.4">48.2.4</a> <dt>Specific and Parametrized Subgroups <a href="CHAP037.htm#SECT012">37.12</a> <dt>Specific Methods for Subgroup Lattice Computations <a href="CHAP037.htm#SECT021">37.21</a> <dt>SplitCharacters <a href="CHAP069.htm#SSEC015.7">69.15.7</a> <dt>SplitExtension <a href="CHAP044.htm#SSEC008.6">44.8.6</a> <dt>SplitExtensions <a href="CHAP044.htm#SSEC008.10">44.8.10</a> <dt>SplitString <a href="CHAP026.htm#SSEC005.6">26.5.6</a> <dt>SplittingField <a href="CHAP064.htm#SSEC004.13">64.4.13</a> <dt>Sqrt <a href="CHAP030.htm#SSEC012.5">30.12.5</a> <dt>square root, of an integer <a href="CHAP014.htm#I3">14.1</a> <dt>SquareRoots <a href="CHAP033.htm#SSEC004.13">33.4.13</a> <dt>SSortedList <a href="CHAP028.htm#SSEC002.6">28.2.6</a> <dt>StabChain <a href="CHAP041.htm#SSEC007.1">41.7.1</a> <dt>StabChainBaseStrongGenerators <a href="CHAP041.htm#SSEC007.4">41.7.4</a> <dt>StabChainImmutable <a href="CHAP041.htm#SSEC007.1">41.7.1</a> <dt>StabChainMutable <a href="CHAP041.htm#SSEC007.1">41.7.1</a> <dt>StabChainOp <a href="CHAP041.htm#SSEC007.1">41.7.1</a> <dt>StabChainOptions <a href="CHAP041.htm#SSEC007.2">41.7.2</a> <dt>Stabilizer <a href="CHAP039.htm#SSEC004.2">39.4.2</a> <dt>Stabilizer Chain Records <a href="CHAP041.htm#SECT008">41.8</a> <dt>Stabilizer Chains <a href="CHAP041.htm#SECT005">41.5</a> <dt>StabilizerOfExternalSet <a href="CHAP039.htm#SSEC011.10">39.11.10</a> <dt>StabilizerPcgs <a href="CHAP043.htm#SSEC015.1">43.15.1</a> <dt>Stabilizers <a href="CHAP039.htm#SECT004">39.4</a> <dt>Standard Generators of Groups <a href="CHAP068.htm#SECT010">68.10</a> <dt>StandardAssociate <a href="CHAP054.htm#SSEC005.5">54.5.5</a> <dt>StandardGeneratorsFunctions <a href="CHAP068.htm#SSEC010.3">68.10.3</a> <dt>StandardGeneratorsInfo, for groups <a href="CHAP068.htm#SSEC010.1">68.10.1</a> <dt>StandardGeneratorsInfo, for tables of marks <a href="CHAP068.htm#SSEC011.5">68.11.5</a> <dt>StandardGeneratorsOfGroup <a href="CHAP068.htm#SSEC010.5">68.10.5</a> <dt>Standardization of coset tables <a href="CHAP045.htm#SECT006">45.6</a> <dt>StandardizeTable <a href="CHAP045.htm#SSEC006.2">45.6.2</a> <dt>StarCyc <a href="CHAP018.htm#SSEC005.3">18.5.3</a> <dt>State <a href="CHAP014.htm#SSEC005.3">14.5.3</a> <dt>Statements <a href="CHAP004.htm#SECT013">4.13</a> <dt>StateRandom <a href="CHAP028.htm#SSEC006.2">28.6.2</a> <dt>Stirling number of the first kind <a href="CHAP017.htm#I4">17.1</a> <dt>Stirling number of the second kind <a href="CHAP017.htm#I6">17.1</a> <dt>Stirling1 <a href="CHAP017.htm#SSEC001.5">17.1.5</a> <dt>Stirling2 <a href="CHAP017.htm#SSEC001.6">17.1.6</a> <dt>StoredGroebnerBasis <a href="CHAP064.htm#SSEC017.3">64.17.3</a> <dt>StoreFusion <a href="CHAP071.htm#SSEC002.4">71.2.4</a> <dt>Storing Normal Subgroup Information <a href="CHAP069.htm#SECT021">69.21</a> <dt>Straight Line Program Elements <a href="CHAP035.htm#SECT009">35.9</a> <dt>Straight Line Programs <a href="CHAP035.htm#SECT008">35.8</a> <dt>StraightLineProgElm <a href="CHAP035.htm#SSEC009.2">35.9.2</a> <dt>StraightLineProgGens <a href="CHAP035.htm#SSEC009.3">35.9.3</a> <dt>StraightLineProgram <a href="CHAP035.htm#SSEC008.2">35.8.2</a> <dt>StraightLineProgramNC <a href="CHAP035.htm#SSEC008.2">35.8.2</a> <dt>StraightLineProgramsTom <a href="CHAP068.htm#SSEC011.2">68.11.2</a> <dt>Streams <a href="CHAP010.htm">10.0</a> <dt>StreamsFamily <a href="CHAP010.htm#SSEC001.9">10.1.9</a> <dt>StretchImportantSLPElement <a href="CHAP035.htm#SSEC009.5">35.9.5</a> <dt>strictly sorted list <a href="CHAP021.htm#I17">21.17</a> <dt>String <a href="CHAP026.htm#SSEC005.1">26.5.1</a> <dt>String Streams <a href="CHAP010.htm#SECT007">10.7</a> <dt>String, for cyclotomics <a href="CHAP018.htm#I5">18.1</a> <dt>StringDate <a href="CHAP026.htm#SSEC008.6">26.8.6</a> <dt>StringOfResultOfStraightLineProgram <a href="CHAP035.htm#SSEC008.6">35.8.6</a> <dt>StringPP <a href="CHAP026.htm#SSEC005.3">26.5.3</a> <dt>Strings and Characters <a href="CHAP026.htm">26.0</a> <dt>strings, equality of <a href="CHAP026.htm#SSEC004.1">26.4.1</a> <dt>strings, inequality of <a href="CHAP026.htm#SSEC004.1">26.4.1</a> <dt>strings, lexicographic ordering of <a href="CHAP026.htm#SSEC004.2">26.4.2</a> <dt>StringTime <a href="CHAP026.htm#SSEC008.9">26.8.9</a> <dt>StrongGeneratorsStabChain <a href="CHAP041.htm#SSEC009.4">41.9.4</a> <dt>StronglyConnectedComponents <a href="CHAP032.htm#SSEC004.5">32.4.5</a> <dt>Struct <a href="CHAP030.htm#SSEC003.1">30.3.1</a> <dt>StructByGenerators <a href="CHAP030.htm#SSEC003.4">30.3.4</a> <dt>StructuralCopy <a href="CHAP012.htm#SSEC007.2">12.7.2</a> <dt>StructuralCopy, for lists <a href="CHAP021.htm#I4">21.7</a> <dt>structure constant <a href="CHAP069.htm#I30">69.10</a> <dt>Structure Descriptions <a href="CHAP037.htm#SECT006">37.6</a> <dt>StructureConstantsTable <a href="CHAP059.htm#SSEC006.4">59.6.4</a> <dt>StructureDescription <a href="CHAP037.htm#SSEC006.1">37.6.1</a> <dt>StructWithGenerators <a href="CHAP030.htm#SSEC003.5">30.3.5</a> <dt>SU <a href="CHAP048.htm#SSEC002.4">48.2.4</a> <dt>Subalgebra <a href="CHAP060.htm#SSEC005.1">60.5.1</a> <dt>SubAlgebraModule <a href="CHAP060.htm#SSEC010.16">60.10.16</a> <dt>SubalgebraNC <a href="CHAP060.htm#SSEC005.2">60.5.2</a> <dt>Subalgebras <a href="CHAP060.htm#SECT005">60.5</a> <dt>SubalgebraWithOne <a href="CHAP060.htm#SSEC005.3">60.5.3</a> <dt>SubalgebraWithOneNC <a href="CHAP060.htm#SSEC005.4">60.5.4</a> <dt>Subdirect Products <a href="CHAP047.htm#SECT003">47.3</a> <dt>SubdirectProduct <a href="CHAP047.htm#SSEC003.1">47.3.1</a> <dt>SubdirectProducts <a href="CHAP047.htm#SSEC003.2">47.3.2</a> <dt>Subdomains <a href="CHAP030.htm#I0">30.8</a> <dt>Subfield <a href="CHAP056.htm#SSEC002.1">56.2.1</a> <dt>SubfieldNC <a href="CHAP056.htm#SSEC002.1">56.2.1</a> <dt>Subfields <a href="CHAP056.htm#SSEC002.10">56.2.10</a> <dt>Subfields of Fields <a href="CHAP056.htm#SECT002">56.2</a> <dt>Subgroup <a href="CHAP037.htm#SSEC003.1">37.3.1</a> <dt>subgroup fusions <a href="CHAP071.htm#I4">71.2</a> <dt>subgroup generators tree <a href="CHAP046.htm#I3">46.11</a> <dt>Subgroup Lattice <a href="CHAP037.htm#SECT020">37.20</a> <dt>Subgroup Presentations <a href="CHAP046.htm#SECT003">46.3</a> <dt>Subgroup Series <a href="CHAP037.htm#SECT017">37.17</a> <dt>SubgroupByPcgs <a href="CHAP043.htm#SSEC007.9">43.7.9</a> <dt>SubgroupByProperty <a href="CHAP037.htm#SSEC003.11">37.3.11</a> <dt>SubgroupNC <a href="CHAP037.htm#SSEC003.1">37.3.1</a> <dt>SubgroupOfWholeGroupByCosetTable <a href="CHAP045.htm#SSEC007.2">45.7.2</a> <dt>SubgroupOfWholeGroupByQuotientSubgroup <a href="CHAP045.htm#SSEC012.1">45.12.1</a> <dt>SubgroupProperty <a href="CHAP041.htm#SSEC011.1">41.11.1</a> <dt>Subgroups <a href="CHAP037.htm#SECT003">37.3</a> <dt>Subgroups characterized by prime powers <a href="CHAP037.htm#SECT014">37.14</a> <dt>Subgroups of Polycyclic Groups - Canonical Pcgs <a href="CHAP043.htm#SECT008">43.8</a> <dt>Subgroups of Polycyclic Groups - Induced Pcgs <a href="CHAP043.htm#SECT007">43.7</a> <dt>subgroups, polyhedral <a href="CHAP069.htm#I28">69.10</a> <dt>SubgroupShell <a href="CHAP037.htm#SSEC003.12">37.3.12</a> <dt>SubgroupsSolvableGroup <a href="CHAP037.htm#SSEC021.3">37.21.3</a> <dt>sublist <a href="CHAP021.htm#I1">21.3</a> <dt>sublist assignment, operation <a href="CHAP021.htm#SSEC004.3">21.4.3</a> <dt>sublist, access <a href="CHAP021.htm#SSEC003.2">21.3.2</a> <dt>sublist, assignment <a href="CHAP021.htm#SSEC004.2">21.4.2</a> <dt>sublist, operation <a href="CHAP021.htm#SSEC003.3">21.3.3</a> <dt>Submagma <a href="CHAP033.htm#SSEC002.7">33.2.7</a> <dt>SubmagmaNC <a href="CHAP033.htm#SSEC002.7">33.2.7</a> <dt>SubmagmaWithInverses <a href="CHAP033.htm#SSEC002.9">33.2.9</a> <dt>SubmagmaWithInversesNC <a href="CHAP033.htm#SSEC002.9">33.2.9</a> <dt>SubmagmaWithOne <a href="CHAP033.htm#SSEC002.8">33.2.8</a> <dt>SubmagmaWithOneNC <a href="CHAP033.htm#SSEC002.8">33.2.8</a> <dt>Submodule <a href="CHAP055.htm#SSEC002.1">55.2.1</a> <dt>SubmoduleNC <a href="CHAP055.htm#SSEC002.2">55.2.2</a> <dt>Submodules <a href="CHAP055.htm#SECT002">55.2</a> <dt>Submonoid <a href="CHAP050.htm#">50.0</a> <dt>SubmonoidNC <a href="CHAP050.htm#">50.0</a> <dt>SubnearAdditiveGroup <a href="CHAP053.htm#SSEC002.9">53.2.9</a> <dt>SubnearAdditiveGroupNC <a href="CHAP053.htm#SSEC002.9">53.2.9</a> <dt>SubnearAdditiveMagma <a href="CHAP053.htm#SSEC002.7">53.2.7</a> <dt>SubnearAdditiveMagmaNC <a href="CHAP053.htm#SSEC002.7">53.2.7</a> <dt>SubnearAdditiveMagmaWithZero <a href="CHAP053.htm#SSEC002.8">53.2.8</a> <dt>SubnearAdditiveMagmaWithZeroNC <a href="CHAP053.htm#SSEC002.8">53.2.8</a> <dt>SubnormalSeries <a href="CHAP037.htm#SSEC017.4">37.17.4</a> <dt>Subring <a href="CHAP054.htm#SSEC001.8">54.1.8</a> <dt>SubringNC <a href="CHAP054.htm#SSEC001.8">54.1.8</a> <dt>SubringWithOne <a href="CHAP054.htm#SSEC003.5">54.3.5</a> <dt>SubringWithOneNC <a href="CHAP054.htm#SSEC003.5">54.3.5</a> <dt>Subroutines for the Construction of Class Fusions <a href="CHAP071.htm#SECT005">71.5</a> <dt>Subroutines for the Construction of Power Maps <a href="CHAP071.htm#SECT004">71.4</a> <dt>Subsemigroup <a href="CHAP049.htm#">49.0</a> <dt>SubsemigroupNC <a href="CHAP049.htm#">49.0</a> <dt>subset test, for collections <a href="CHAP028.htm#I6">28.4</a> <dt>subsets <a href="CHAP017.htm#I9">17.2</a> <dt>Subspace <a href="CHAP059.htm#SSEC001.2">59.1.2</a> <dt>SubspaceNC <a href="CHAP059.htm#SSEC001.2">59.1.2</a> <dt>Subspaces <a href="CHAP059.htm#SSEC003.1">59.3.1</a> <dt>SubstitutedWord <a href="CHAP035.htm#SSEC004.5">35.4.5</a> <dt>SubsTom <a href="CHAP068.htm#SSEC007.1">68.7.1</a> <dt>Substruct <a href="CHAP030.htm#SSEC008.1">30.8.1</a> <dt>SubstructNC <a href="CHAP030.htm#SSEC008.2">30.8.2</a> <dt>SubSyllables <a href="CHAP035.htm#SSEC005.4">35.5.4</a> <dt>subtract, a set from another <a href="CHAP021.htm#I25">21.19</a> <dt>SubtractBlist <a href="CHAP022.htm#SSEC003.4">22.3.4</a> <dt>subtraction <a href="CHAP004.htm#SSEC012.1">4.12.1</a> <dt>subtraction, matrices <a href="CHAP024.htm#SSEC002.3">24.2.3</a> <dt>subtraction, matrix and scalar <a href="CHAP024.htm#SSEC002.3">24.2.3</a> <dt>subtraction, rational functions <a href="CHAP064.htm#SSEC002.1">64.2.1</a> <dt>subtraction, scalar and matrix <a href="CHAP024.htm#SSEC002.3">24.2.3</a> <dt>subtraction, scalar and matrix list <a href="CHAP024.htm#SSEC002.12">24.2.12</a> <dt>subtraction, scalar and vector <a href="CHAP023.htm#SSEC001.3">23.1.3</a> <dt>subtraction, vector and scalar <a href="CHAP023.htm#SSEC001.3">23.1.3</a> <dt>subtraction, vectors <a href="CHAP023.htm#SSEC001.3">23.1.3</a> <dt>SubtractSet <a href="CHAP021.htm#SSEC019.8">21.19.8</a> <dt>Subword <a href="CHAP035.htm#SSEC004.3">35.4.3</a> <dt>Successors <a href="CHAP032.htm#SSEC002.9">32.2.9</a> <dt>Suitability for Compilation <a href="CHAP003.htm#SECT008">3.8</a> <dt>Sum <a href="CHAP021.htm#SSEC020.24">21.20.24</a> <dt>Sum and Intersection of Pcgs <a href="CHAP043.htm#SECT012">43.12</a> <dt>SumFactorizationFunctionPcgs <a href="CHAP043.htm#SSEC012.1">43.12.1</a> <dt>SumIntersectionMat <a href="CHAP024.htm#SSEC010.4">24.10.4</a> <dt>SumX <a href="CHAP021.htm#SSEC021.3">21.21.3</a> <dt>SupersolvableResiduum <a href="CHAP037.htm#SSEC012.11">37.12.11</a> <dt>support, email address <a href="CHAP073.htm#I4">73.9</a> <dt>SupportedCharacterTableInfo <a href="CHAP069.htm#SSEC003.4">69.3.4</a> <dt>SurjectiveActionHomomorphismAttr <a href="CHAP039.htm#SSEC011.17">39.11.17</a> <dt>SuzukiGroup <a href="CHAP048.htm#SSEC001.10">48.1.10</a> <dt>Sylow Subgroups and Hall Subgroups <a href="CHAP037.htm#SECT013">37.13</a> <dt>SylowComplement <a href="CHAP037.htm#SSEC013.2">37.13.2</a> <dt>SylowSubgroup <a href="CHAP037.htm#SSEC013.1">37.13.1</a> <dt>SylowSystem <a href="CHAP037.htm#SSEC013.4">37.13.4</a> <dt>Symbols <a href="CHAP004.htm#SECT003">4.3</a> <dt>Symmetric and Alternating Groups <a href="CHAP041.htm#SECT003">41.3</a> <dt>symmetric group, powermap <a href="CHAP017.htm#I13">17.2</a> <dt>symmetric relation <a href="CHAP032.htm#I4">32.2</a> <dt>SymmetricClosureBinaryRelation <a href="CHAP032.htm#SSEC004.2">32.4.2</a> <dt>SymmetricGroup <a href="CHAP048.htm#SSEC001.8">48.1.8</a> <dt>SymmetricParentGroup <a href="CHAP041.htm#SSEC003.5">41.3.5</a> <dt>SymmetricParts <a href="CHAP070.htm#SSEC011.2">70.11.2</a> <dt>SymmetricPowerOfAlgebraModule <a href="CHAP061.htm#SSEC014.3">61.14.3</a> <dt>Symmetrizations <a href="CHAP070.htm#SSEC011.1">70.11.1</a> <dt>Symmetrizations of Class Functions <a href="CHAP070.htm#SECT011">70.11</a> <dt>symmetrizations, orthogonal <a href="CHAP070.htm#I37">70.11</a> <dt>symmetrizations, symplectic <a href="CHAP070.htm#I40">70.11</a> <dt>SymplecticComponents <a href="CHAP070.htm#SSEC011.5">70.11.5</a> <dt>SymplecticGroup <a href="CHAP048.htm#SSEC002.5">48.2.5</a> <dt>syntax errors <a href="CHAP006.htm#I4">6.1</a> <dt>Sz <a href="CHAP048.htm#SSEC001.10">48.1.10</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>
