<html><head><title>The GAP 4 Reference Manual - Index P</title></head> <body text="#000000" bgcolor="#ffffff"> <h1>The <font face="Gill Sans,Helvetica,Arial">GAP</font> 4 Reference Manual - Index P</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>p-adic Numbers <a href="CHAP066.htm">66.0</a> <dt>p-group <a href="CHAP037.htm#I8">37.15</a> <dt>package <a href="CHAP074.htm#I0">74.0</a> <dt>Package Interface - Obsolete Functions and Name Changes <a href="CHAP075.htm#SECT002">75.2</a> <dt>Packages <a href="CHAP073.htm#SECT006">73.6</a> <dt>PadicCoefficients <a href="CHAP025.htm#SSEC004.3">25.4.3</a> <dt>PadicExtensionNumberFamily <a href="CHAP066.htm#SSEC002.1">66.2.1</a> <dt>PadicNumber <a href="CHAP066.htm#SSEC002.2">66.2.2</a> <dt>PadicNumber, for pure padics <a href="CHAP066.htm#SSEC001.2">66.1.2</a> <dt>PadicValuation <a href="CHAP054.htm#SSEC005.9">54.5.9</a> <dt>Pager <a href="CHAP002.htm#SSEC004.1">2.4.1</a> <dt>Parametrized <a href="CHAP071.htm#SSEC003.5">71.3.5</a> <dt>Parametrized Maps <a href="CHAP071.htm#SECT003">71.3</a> <dt>parametrized maps <a href="CHAP071.htm#I1">71.0</a> <dt>Parent <a href="CHAP030.htm#SSEC007.1">30.7.1</a> <dt>ParentPcgs <a href="CHAP043.htm#SSEC007.3">43.7.3</a> <dt>Parents <a href="CHAP030.htm#SECT007">30.7</a> <dt>partial order <a href="CHAP032.htm#I8">32.2</a> <dt>PartialFactorization <a href="CHAP014.htm#SSEC003.7">14.3.7</a> <dt>PartialOrderByOrderingFunction <a href="CHAP032.htm#SSEC004.6">32.4.6</a> <dt>PartialOrderOfHasseDiagram <a href="CHAP032.htm#SSEC002.11">32.2.11</a> <dt>Partitions <a href="CHAP017.htm#SSEC002.15">17.2.15</a> <dt>partitions, improper, of an integer <a href="CHAP017.htm#I11">17.2</a> <dt>partitions, ordered, of an integer <a href="CHAP017.htm#I10">17.2</a> <dt>partitions, restricted, of an integer <a href="CHAP017.htm#I12">17.2</a> <dt>PartitionsGreatestEQ <a href="CHAP017.htm#SSEC002.20">17.2.20</a> <dt>PartitionsGreatestLE <a href="CHAP017.htm#SSEC002.19">17.2.19</a> <dt>PartitionsSet <a href="CHAP017.htm#SSEC002.13">17.2.13</a> <dt>PartitionTuples <a href="CHAP017.htm#SSEC002.26">17.2.26</a> <dt>Pc Groups <a href="CHAP044.htm">44.0</a> <dt>Pc groups versus fp groups <a href="CHAP044.htm#SECT003">44.3</a> <dt>PcElementByExponents <a href="CHAP043.htm#SSEC005.6">43.5.6</a> <dt>PcElementByExponentsNC <a href="CHAP043.htm#SSEC005.6">43.5.6</a> <dt>PCentralLieAlgebra <a href="CHAP061.htm#SSEC008.5">61.8.5</a> <dt>PCentralNormalSeriesByPcgsPGroup <a href="CHAP043.htm#SSEC011.12">43.11.12</a> <dt>PCentralSeries <a href="CHAP037.htm#SSEC017.13">37.17.13</a> <dt>PcGroupCode <a href="CHAP044.htm#SSEC009.3">44.9.3</a> <dt>PcGroupCodeRec <a href="CHAP044.htm#SSEC009.4">44.9.4</a> <dt>PcGroupFpGroup <a href="CHAP044.htm#SSEC004.1">44.4.1</a> <dt>PcGroupWithPcgs <a href="CHAP044.htm#SSEC005.1">44.5.1</a> <dt>Pcgs <a href="CHAP043.htm#SSEC002.1">43.2.1</a> <dt>Pcgs and Normal Series <a href="CHAP043.htm#SECT011">43.11</a> <dt>Pcgs_OrbitStabilizer <a href="CHAP043.htm#SSEC015.2">43.15.2</a> <dt>PcgsByPcSequence <a href="CHAP043.htm#SSEC003.1">43.3.1</a> <dt>PcgsByPcSequenceNC <a href="CHAP043.htm#SSEC003.1">43.3.1</a> <dt>PcgsCentralSeries <a href="CHAP043.htm#SSEC011.6">43.11.6</a> <dt>PcgsChiefSeries <a href="CHAP043.htm#SSEC011.14">43.11.14</a> <dt>PcgsElementaryAbelianSeries <a href="CHAP043.htm#SSEC011.2">43.11.2</a> <dt>PcgsPCentralSeriesPGroup <a href="CHAP043.htm#SSEC011.10">43.11.10</a> <dt>PClassPGroup <a href="CHAP037.htm#SSEC015.16">37.15.16</a> <dt>PCore <a href="CHAP037.htm#SSEC011.3">37.11.3</a> <dt>PcSeries <a href="CHAP043.htm#SSEC004.4">43.4.4</a> <dt>perfect groups <a href="CHAP048.htm#I8">48.8</a> <dt>PerfectGroup <a href="CHAP048.htm#SSEC008.2">48.8.2</a> <dt>PerfectIdentification <a href="CHAP048.htm#SSEC008.3">48.8.3</a> <dt>PerfectResiduum <a href="CHAP037.htm#SSEC012.8">37.12.8</a> <dt>Perform <a href="CHAP021.htm#SSEC020.10">21.20.10</a> <dt>Permanent <a href="CHAP017.htm#SSEC004.1">17.4.1</a> <dt>Permanent of a Matrix <a href="CHAP017.htm#SECT004">17.4</a> <dt>PermBounds <a href="CHAP070.htm#SSEC014.3">70.14.3</a> <dt>PermCharInfo <a href="CHAP070.htm#SSEC013.1">70.13.1</a> <dt>PermCharInfoRelative <a href="CHAP070.htm#SSEC013.2">70.13.2</a> <dt>PermChars <a href="CHAP070.htm#SSEC014.1">70.14.1</a> <dt>PermCharsTom <a href="CHAP068.htm#SSEC012.2">68.12.2</a> <dt>PermComb <a href="CHAP070.htm#SSEC014.4">70.14.4</a> <dt>PermLeftQuoTransformation <a href="CHAP052.htm#">52.0</a> <dt>PermList <a href="CHAP040.htm#SSEC004.2">40.4.2</a> <dt>PermListList <a href="CHAP021.htm#SSEC020.11">21.20.11</a> <dt>Permutation <a href="CHAP039.htm#SSEC008.1">39.8.1</a> <dt>permutation character <a href="CHAP071.htm#I13">71.5</a> <dt>permutation characters, possible <a href="CHAP070.htm#I44">70.13</a> <a href="CHAP070.htm#I48">70.14</a> <dt>Permutation Groups <a href="CHAP041.htm">41.0</a> <dt>PermutationCharacter <a href="CHAP070.htm#SSEC007.3">70.7.3</a> <dt>PermutationCycle <a href="CHAP039.htm#SSEC008.2">39.8.2</a> <dt>PermutationCycleOp <a href="CHAP039.htm#SSEC008.2">39.8.2</a> <dt>PermutationGModule <a href="CHAP067.htm#SSEC002.1">67.2.1</a> <dt>PermutationMat <a href="CHAP024.htm#SSEC004.5">24.4.5</a> <dt>Permutations <a href="CHAP040.htm">40.0</a> <dt>Permutations Induced by Elements and Cycles <a href="CHAP039.htm#SECT008">39.8</a> <dt>PermutationsFamily <a href="CHAP040.htm#">40.0</a> <dt>PermutationsList <a href="CHAP017.htm#SSEC002.9">17.2.9</a> <dt>PermutationTom <a href="CHAP068.htm#SSEC005.2">68.5.2</a> <dt>Permuted <a href="CHAP021.htm#SSEC020.16">21.20.16</a> <dt>Permuted, as a permutation action <a href="CHAP039.htm#SSEC002.14">39.2.14</a> <dt>Permuted, for class functions <a href="CHAP070.htm#I14">70.4</a> <dt>PGL <a href="CHAP048.htm#SSEC002.8">48.2.8</a> <dt>PGU <a href="CHAP048.htm#SSEC002.10">48.2.10</a> <dt>Phi <a href="CHAP015.htm#SSEC001.2">15.1.2</a> <dt>point stabilizer <a href="CHAP039.htm#I10">39.4</a> <dt>Polycyclic Generating Systems <a href="CHAP043.htm#SECT001">43.1</a> <dt>Polycyclic Groups <a href="CHAP043.htm">43.0</a> <dt>Polynomial Factorization <a href="CHAP064.htm#SECT010">64.10</a> <dt>Polynomial Rings <a href="CHAP064.htm#SECT014">64.14</a> <dt>PolynomialByExtRep <a href="CHAP064.htm#SSEC021.2">64.21.2</a> <dt>PolynomialByExtRepNC <a href="CHAP064.htm#SSEC021.2">64.21.2</a> <dt>PolynomialCoefficientsOfPolynomial <a href="CHAP064.htm#SSEC006.2">64.6.2</a> <dt>PolynomialDivisionAlgorithm <a href="CHAP064.htm#SSEC016.13">64.16.13</a> <dt>PolynomialModP <a href="CHAP064.htm#SSEC011.2">64.11.2</a> <dt>PolynomialReducedRemainder <a href="CHAP064.htm#SSEC016.12">64.16.12</a> <dt>PolynomialReduction <a href="CHAP064.htm#SSEC016.11">64.16.11</a> <dt>PolynomialRing <a href="CHAP064.htm#SSEC014.1">64.14.1</a> <dt>Polynomials and Rational Functions <a href="CHAP064.htm">64.0</a> <dt>Polynomials as Univariate Polynomials in one Indeterminate <a href="CHAP064.htm#SECT006">64.6</a> <dt>polynomials over abelian number fields, Factors <a href="CHAP058.htm#I3">58.2</a> <dt>Polynomials over the Rationals <a href="CHAP064.htm#SECT011">64.11</a> <dt>PopOptions <a href="CHAP008.htm#">8.0</a> <dt>Portability <a href="CHAP009.htm#SECT001">9.1</a> <dt>Porting GAP <a href="CHAP073.htm#SECT013">73.13</a> <dt>Position <a href="CHAP021.htm#SSEC016.1">21.16.1</a> <dt>PositionBound <a href="CHAP021.htm#SSEC016.8">21.16.8</a> <dt>PositionCanonical <a href="CHAP021.htm#SSEC016.3">21.16.3</a> <dt>PositionFirstComponent <a href="CHAP021.htm#SSEC016.12">21.16.12</a> <dt>PositionNonZero <a href="CHAP021.htm#SSEC016.10">21.16.10</a> <dt>PositionNot <a href="CHAP021.htm#SSEC016.9">21.16.9</a> <dt>PositionNthOccurrence <a href="CHAP021.htm#SSEC016.4">21.16.4</a> <dt>PositionProperty <a href="CHAP021.htm#SSEC016.7">21.16.7</a> <dt>Positions <a href="CHAP021.htm#SSEC016.2">21.16.2</a> <dt>PositionSet <a href="CHAP021.htm#SSEC016.6">21.16.6</a> <dt>PositionsOp <a href="CHAP021.htm#SSEC016.2">21.16.2</a> <dt>PositionSorted <a href="CHAP021.htm#SSEC016.5">21.16.5</a> <dt>PositionStream <a href="CHAP010.htm#SSEC003.8">10.3.8</a> <dt>PositionSublist <a href="CHAP021.htm#SSEC016.11">21.16.11</a> <dt>PositionWord <a href="CHAP035.htm#SSEC004.4">35.4.4</a> <dt>positive number <a href="CHAP004.htm#SSEC012.1">4.12.1</a> <dt>PositiveIntegers <a href="CHAP014.htm#">14.0</a> <dt>PositiveRoots <a href="CHAP061.htm#SSEC007.7">61.7.7</a> <dt>PositiveRootVectors <a href="CHAP061.htm#SSEC007.9">61.7.9</a> <dt>Possible Permutation Characters <a href="CHAP070.htm#SECT013">70.13</a> <dt>possible permutation characters <a href="CHAP070.htm#I43">70.13</a> <a href="CHAP070.htm#I47">70.14</a> <dt>PossibleClassFusions <a href="CHAP071.htm#SSEC002.6">71.2.6</a> <dt>PossibleFusionsCharTableTom <a href="CHAP068.htm#SSEC012.1">68.12.1</a> <dt>PossiblePowerMaps <a href="CHAP071.htm#SSEC001.2">71.1.2</a> <dt>power <a href="CHAP004.htm#SSEC012.1">4.12.1</a> <dt>Power Maps <a href="CHAP071.htm#SECT001">71.1</a> <dt>power, matrix <a href="CHAP024.htm#SSEC002.10">24.2.10</a> <dt>power, meaning for class functions <a href="CHAP070.htm#I9">70.4</a> <dt>power, of words <a href="CHAP035.htm#I2">35.4</a> <dt>PowerMap <a href="CHAP071.htm#SSEC001.1">71.1.1</a> <dt>PowerMapByComposition <a href="CHAP071.htm#SSEC001.4">71.1.4</a> <dt>PowerMapOp <a href="CHAP071.htm#SSEC001.1">71.1.1</a> <dt>PowerMapsAllowedBySymmetrizations <a href="CHAP071.htm#SSEC004.6">71.4.6</a> <dt>PowerMod <a href="CHAP054.htm#SSEC007.8">54.7.8</a> <dt>PowerModCoeffs <a href="CHAP023.htm#SSEC006.5">23.6.5</a> <dt>PowerModInt <a href="CHAP014.htm#SSEC002.10">14.2.10</a> <dt>PowerPartition <a href="CHAP017.htm#SSEC002.25">17.2.25</a> <dt>powerset <a href="CHAP017.htm#I8">17.2</a> <dt>PowerSubalgebraSeries <a href="CHAP060.htm#SSEC008.4">60.8.4</a> <dt>PQuotient <a href="CHAP045.htm#SSEC013.1">45.13.1</a> <dt>precedence <a href="CHAP004.htm#I12">4.12</a> <dt>precedence test, for permutations <a href="CHAP040.htm#SSEC001.1">40.1.1</a> <dt>PrefrattiniSubgroup <a href="CHAP037.htm#SSEC012.7">37.12.7</a> <dt>PrefrattiniSubgroup, for groups with pcgs <a href="CHAP043.htm#I7">43.16</a> <dt>PreImage <a href="CHAP031.htm#SSEC004.6">31.4.6</a> <dt>PreImageElm <a href="CHAP031.htm#SSEC004.3">31.4.3</a> <dt>PreImages <a href="CHAP031.htm#SSEC004.7">31.4.7</a> <dt>Preimages in the Free Group <a href="CHAP045.htm#SECT003">45.3</a> <dt>Preimages in the Free Semigroup <a href="CHAP051.htm#SECT003">51.3</a> <dt>Preimages under Homomorphisms from an FpGroup <a href="CHAP045.htm#SECT012">45.12</a> <dt>Preimages under Mappings <a href="CHAP031.htm#SECT004">31.4</a> <dt>PreImagesElm <a href="CHAP031.htm#SSEC004.2">31.4.2</a> <dt>PreimagesOfTransformation <a href="CHAP052.htm#">52.0</a> <dt>PreImagesRange <a href="CHAP031.htm#SSEC004.1">31.4.1</a> <dt>PreImagesRepresentative <a href="CHAP031.htm#SSEC004.4">31.4.4</a> <dt>PreImagesSet <a href="CHAP031.htm#SSEC004.5">31.4.5</a> <dt>preorder <a href="CHAP032.htm#I7">32.2</a> <dt>PresentationFpGroup <a href="CHAP046.htm#SSEC001.1">46.1.1</a> <dt>PresentationNormalClosure <a href="CHAP046.htm#SSEC003.6">46.3.6</a> <dt>PresentationNormalClosureRrs <a href="CHAP046.htm#SSEC003.5">46.3.5</a> <dt>Presentations and Tietze Transformations <a href="CHAP046.htm">46.0</a> <dt>PresentationSubgroup <a href="CHAP046.htm#SSEC003.1">46.3.1</a> <dt>PresentationSubgroupMtc <a href="CHAP046.htm#SSEC003.4">46.3.4</a> <dt>PresentationSubgroupRrs <a href="CHAP046.htm#SSEC003.2">46.3.2</a> <dt>PresentationViaCosetTable <a href="CHAP046.htm#SSEC001.5">46.1.5</a> <dt>previous result <a href="CHAP006.htm#I8">6.1</a> <dt>PrevPrimeInt <a href="CHAP014.htm#SSEC003.5">14.3.5</a> <dt>primary subgroup generators <a href="CHAP046.htm#I2">46.11</a> <dt>PrimaryGeneratorWords <a href="CHAP046.htm#SSEC003.3">46.3.3</a> <dt>Prime Integers and Factorization <a href="CHAP014.htm#SECT003">14.3</a> <dt>prime residue group <a href="CHAP015.htm#I0">15.0</a> <a href="CHAP015.htm#I1">15.1</a> <dt>prime residue group, exponent <a href="CHAP015.htm#I6">15.1</a> <dt>prime residue group, generator <a href="CHAP015.htm#I11">15.2</a> <dt>prime residue group, order <a href="CHAP015.htm#I3">15.1</a> <dt>Prime Residues <a href="CHAP015.htm#SECT001">15.1</a> <dt>PrimeBlocks <a href="CHAP069.htm#SSEC009.1">69.9.1</a> <dt>PrimeBlocksOp <a href="CHAP069.htm#SSEC009.1">69.9.1</a> <dt>PrimeField <a href="CHAP056.htm#SSEC002.4">56.2.4</a> <dt>PrimePGroup <a href="CHAP037.htm#SSEC015.15">37.15.15</a> <dt>PrimePowersInt <a href="CHAP014.htm#SSEC003.9">14.3.9</a> <dt>PrimeResidues, function <a href="CHAP015.htm#SSEC001.1">15.1.1</a> <dt>Primes <a href="CHAP014.htm#SSEC003.1">14.3.1</a> <dt>primitive <a href="CHAP039.htm#I18">39.9</a> <dt>Primitive Groups <a href="CHAP041.htm#SECT004">41.4</a> <dt>Primitive Permutation Groups <a href="CHAP048.htm#SECT009">48.9</a> <dt>primitive root modulo an integer <a href="CHAP015.htm#I10">15.2</a> <dt>Primitive Roots and Discrete Logarithms <a href="CHAP015.htm#SECT002">15.2</a> <dt>PRIMITIVE_INDICES_MAGMA <a href="CHAP048.htm#SSEC010.3">48.10.3</a> <dt>PrimitiveElement <a href="CHAP056.htm#SSEC002.3">56.2.3</a> <dt>PrimitiveGroup <a href="CHAP048.htm#SSEC009.1">48.9.1</a> <dt>PrimitiveGroupsIterator <a href="CHAP048.htm#SSEC009.3">48.9.3</a> <dt>PrimitiveIdentification <a href="CHAP048.htm#SSEC010.1">48.10.1</a> <dt>PrimitiveIndexIrreducibleSolvableGroup <a href="CHAP048.htm#SSEC011.5">48.11.5</a> <dt>PrimitivePolynomial <a href="CHAP064.htm#SSEC011.1">64.11.1</a> <dt>PrimitiveRoot <a href="CHAP057.htm#SSEC003.2">57.3.2</a> <dt>PrimitiveRootMod <a href="CHAP015.htm#SSEC002.3">15.2.3</a> <dt>Primitivity of Characters <a href="CHAP072.htm#SECT002">72.2</a> <dt>Print <a href="CHAP006.htm#SSEC003.2">6.3.2</a> <dt>PrintAmbiguity <a href="CHAP071.htm#SSEC003.14">71.3.14</a> <dt>PrintArray <a href="CHAP024.htm#SSEC004.10">24.4.10</a> <dt>PrintCharacterTable <a href="CHAP069.htm#SSEC011.2">69.11.2</a> <dt>PrintFactorsInt <a href="CHAP014.htm#SSEC003.8">14.3.8</a> <dt>PrintFormattingStatus <a href="CHAP010.htm#SSEC004.9">10.4.9</a> <dt>Printing Character Tables <a href="CHAP069.htm#SECT011">69.11</a> <dt>Printing Class Functions <a href="CHAP070.htm#SECT005">70.5</a> <dt>Printing Presentations <a href="CHAP046.htm#SECT005">46.5</a> <dt>Printing Tables of Marks <a href="CHAP068.htm#SECT004">68.4</a> <dt>Printing, Viewing and Displaying Finite Field Elements <a href="CHAP057.htm#SECT006">57.6</a> <dt>PrintObj <a href="CHAP006.htm#SSEC003.3">6.3.3</a> <dt>PrintObj, for character tables <a href="CHAP069.htm#I32">69.11</a> <a href="CHAP070.htm#I17">70.5</a> <dt>PrintObj, for tables of marks <a href="CHAP068.htm#I1">68.4</a> <dt>PrintTo <a href="CHAP009.htm#SSEC007.3">9.7.3</a> <dt>PrintTo, for streams <a href="CHAP010.htm#SSEC004.4">10.4.4</a> <dt>ProbabilityShapes <a href="CHAP064.htm#SSEC011.4">64.11.4</a> <dt>problems <a href="CHAP073.htm#I2">73.9</a> <dt>Problems on Particular Systems <a href="CHAP073.htm#SECT011">73.11</a> <dt>procedure call <a href="CHAP004.htm#SSEC015.1">4.15.1</a> <dt>procedure call with arguments <a href="CHAP004.htm#SSEC015.1">4.15.1</a> <dt>Procedure Calls <a href="CHAP004.htm#SECT015">4.15</a> <dt>Process <a href="CHAP011.htm#SECT001">11.1</a> <a href="CHAP011.htm#SSEC001.1">11.1.1</a> <dt>Processes <a href="CHAP011.htm">11.0</a> <dt>PROD_GF2MAT_GF2MAT_ADVANCED <a href="CHAP024.htm#SSEC014.2">24.14.2</a> <dt>PROD_GF2MAT_GF2MAT_SIMPLE <a href="CHAP024.htm#SSEC014.1">24.14.1</a> <dt>Product <a href="CHAP021.htm#SSEC020.23">21.20.23</a> <dt>product, of words <a href="CHAP035.htm#I0">35.4</a> <dt>product, rational functions <a href="CHAP064.htm#SSEC002.1">64.2.1</a> <dt>ProductCoeffs <a href="CHAP023.htm#SSEC006.2">23.6.2</a> <dt>ProductOfStraightLinePrograms <a href="CHAP035.htm#SSEC008.13">35.8.13</a> <dt>ProductSpace <a href="CHAP060.htm#SSEC008.3">60.8.3</a> <dt>ProductX <a href="CHAP021.htm#SSEC021.4">21.21.4</a> <dt>ProfileFunctions <a href="CHAP007.htm#SSEC007.5">7.7.5</a> <dt>ProfileGlobalFunctions <a href="CHAP007.htm#SSEC007.7">7.7.7</a> <dt>ProfileMethods <a href="CHAP007.htm#SSEC007.3">7.7.3</a> <dt>ProfileOperations <a href="CHAP007.htm#SSEC007.1">7.7.1</a> <dt>ProfileOperationsAndMethods <a href="CHAP007.htm#SSEC007.2">7.7.2</a> <dt>PROFILETHRESHOLD <a href="CHAP007.htm#SSEC007.9">7.7.9</a> <dt>Profiling <a href="CHAP007.htm#SECT007">7.7</a> <dt>ProjectedInducedPcgs <a href="CHAP043.htm#SSEC010.2">43.10.2</a> <dt>ProjectedPcElement <a href="CHAP043.htm#SSEC010.1">43.10.1</a> <dt>Projection <a href="CHAP031.htm#SSEC001.11">31.1.11</a> <dt>Projection, example for direct products <a href="CHAP047.htm#I1">47.1</a> <dt>Projection, example for semidirect products <a href="CHAP047.htm#I3">47.2</a> <dt>Projection, example for subdirect products <a href="CHAP047.htm#I4">47.3</a> <dt>Projection, example for wreath products <a href="CHAP047.htm#I6">47.4</a> <dt>Projection, for group products <a href="CHAP047.htm#SSEC006.2">47.6.2</a> <dt>ProjectionMap <a href="CHAP071.htm#SSEC003.3">71.3.3</a> <dt>projections, find all <a href="CHAP038.htm#I5">38.9</a> <dt>ProjectiveActionHomomorphismMatrixGroup <a href="CHAP042.htm#SSEC002.2">42.2.2</a> <dt>ProjectiveActionOnFullSpace <a href="CHAP042.htm#SSEC002.1">42.2.1</a> <dt>ProjectiveGeneralLinearGroup <a href="CHAP048.htm#SSEC002.8">48.2.8</a> <dt>ProjectiveGeneralUnitaryGroup <a href="CHAP048.htm#SSEC002.10">48.2.10</a> <dt>ProjectiveOrder <a href="CHAP024.htm#SSEC013.3">24.13.3</a> <dt>ProjectiveSpecialLinearGroup <a href="CHAP048.htm#SSEC002.9">48.2.9</a> <dt>ProjectiveSpecialUnitaryGroup <a href="CHAP048.htm#SSEC002.11">48.2.11</a> <dt>ProjectiveSymplecticGroup <a href="CHAP048.htm#SSEC002.12">48.2.12</a> <dt>prompt <a href="CHAP006.htm#I2">6.1</a> <dt>prompt, partial <a href="CHAP006.htm#I3">6.1</a> <dt>Properties <a href="CHAP013.htm#SECT007">13.7</a> <dt>Properties and Attributes for Lists <a href="CHAP021.htm#SECT017">21.17</a> <dt>Properties and Attributes of (General) Mappings <a href="CHAP031.htm#SECT002">31.2</a> <dt>Properties and Attributes of Binary Relations <a href="CHAP032.htm#SECT002">32.2</a> <dt>Properties and Attributes of Matrices <a href="CHAP024.htm#SECT003">24.3</a> <dt>Properties and Attributes of Rational Functions <a href="CHAP064.htm#SECT004">64.4</a> <dt>Properties and basic functionality <a href="CHAP029.htm#SECT002">29.2</a> <dt>Properties of a Lie Algebra <a href="CHAP061.htm#SECT005">61.5</a> <dt>Properties of rewriting systems <a href="CHAP036.htm#SECT003">36.3</a> <dt>Properties of Rings <a href="CHAP054.htm#SECT004">54.4</a> <dt>Properties of Tables of Marks <a href="CHAP068.htm#SECT008">68.8</a> <dt>PRump <a href="CHAP037.htm#SSEC012.12">37.12.12</a> <dt>PseudoRandom <a href="CHAP028.htm#SSEC006.3">28.6.3</a> <dt>PSL <a href="CHAP048.htm#SSEC002.9">48.2.9</a> <dt>PSP <a href="CHAP048.htm#SSEC002.12">48.2.12</a> <dt>PSp <a href="CHAP048.htm#SSEC002.12">48.2.12</a> <dt>PSU <a href="CHAP048.htm#SSEC002.11">48.2.11</a> <dt>PthPowerImage <a href="CHAP061.htm#SSEC008.3">61.8.3</a> <dt>PthPowerImages <a href="CHAP061.htm#SSEC008.2">61.8.2</a> <dt>Pure p-adic Numbers <a href="CHAP066.htm#SECT001">66.1</a> <dt>PurePadicNumberFamily <a href="CHAP066.htm#SSEC001.1">66.1.1</a> <dt>PushOptions <a href="CHAP008.htm#">8.0</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>
