The GAP 4 Reference Manual - Index P

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p-adic Numbers 64.0
p-group 36.14
PadicCoefficients 25.2
PadicExtensionNumberFamily 64.2
PadicNumber 64.2
PadicNumber, for pure padics 64.1
pager 2.5
paramap 69.3
Parametrized 69.3
Parametrized Maps 69.3
parametrized maps 69.0
Parent 29.6
ParentPcgs 42.7
Parents 29.6
Partitions 17.2
partitions, improper, of an integer 17.2
partitions, ordered, of an integer 17.2
partitions, restricted, of an integer 17.2
PartitionsSet 17.2
PartitionTuples 17.2
Pc Groups 43.0
Pc groups versus fp groups 43.3
PcElementByExponents 42.5
PcElementByExponentsNC 42.5
PCentralSeries 36.16
PcGroupCode 43.9
PcGroupCodeRec 43.9
PcGroupFpGroup 43.4
PcGroupWithPcgs 43.5
Pcgs 42.2
Pcgs and Normal Series 42.11
Pcgs.pcgs 42.15
PcgsByPcSequence 42.3
PcgsByPcSequenceNC 42.3
PcgsCentralSeries 42.11
PcgsChiefSeries 42.11
PcgsElementaryAbelianSeries 42.11
PcgsPCentralSeriesPGroup 42.11
PClassPGroup 36.14
PCore 36.10
PcSeries 42.4
perfect groups 47.7
PerfectGroup 47.7
PerfectIdentification 47.7
PerfectResiduum 36.11
Permanent 17.4
Permanent of a Matrix 17.4
PermBounds 68.14
PermCharInfo 68.13
PermChars 68.14
PermCharsTom 66.12
PermComb 68.14
PermList 39.4
PermListList 21.16
Permutation 38.7
permutation character 69.5
permutation characters, possible 68.13 68.14
Permutation Groups 40.0
PermutationCharacter 68.7
PermutationCycle 38.7
PermutationMat 24.4
Permutations 39.0
Permutations Induced by Elements and Cycles 38.7
PermutationsFamily V 39.0
PermutationsList 17.2
PermutationTom 66.5
Permuted 21.16 38.2
PGL 47.2
PGU 47.2
Phi 15.1
pointstabilizer 38.4
Polycyclic Generating Systems 42.1
Polycyclic Groups 42.0
Polynomial Factorization 62.10
Polynomial Reduction 62.15
Polynomial Rings 62.13
PolynomialByExtRep 62.19
PolynomialCoefficientsOfPolynomial 62.6
PolynomialReduction 62.15
PolynomialRing 62.13
Polynomials and Rational Functions 62.0
Polynomials as Univariate Polynomials in one Indeterminate 62.6
Polynomials over the Rationals 62.11
PopOptions 8.0
Portability 9.1
Porting GAP 72.16
Position 21.12
PositionBound 21.12
PositionCanonical 21.12
PositionNonZero 21.12
PositionNot 21.12
PositionNthOccurrence 21.12
PositionProperty 21.12
PositionSet 21.12
PositionSorted 21.12
PositionStream 10.3
PositionSublist 21.12
PositionWord 34.4
positive number 4.12
PositiveIntegers V 14.0
PositiveRoots 60.7
PositiveRootVectors 60.7
Possible Permutation Characters 68.13
possible permutation characters 68.13 68.14
PossibleClassFusions 69.2
PossibleFusionsCharTableTom 66.12
PossiblePowerMaps 69.1
power 4.12
Power Maps 69.1
power, matrix 24.2
power, of words 34.4
PowerMap 69.1
PowerMapByComposition 69.1
PowerMapOp 69.1
PowerMapsAllowedBySymmetrizations 69.4
PowerMod 53.7
PowerModCoeffs 23.6
PowerModInt 14.2
PowerPartition 17.2
powerset 17.2
PowerSubalgebraSeries 59.8
precedence 4.12
precedence test, for permutations 39.1
PrefrattiniSubgroup 36.11
PreImage 30.4
PreImageElm 30.4
PreImages 30.4
Preimages in the Free Group 44.3
Preimages in the Free Semigroup 50.3
Preimages under Homomorphisms from an FpGroup 44.9
Preimages under Mappings 30.4
PreImagesElm 30.4
PreimagesOfTransformation 51.0
PreImagesRange 30.4
PreImagesRepresentative 30.4
PreImagesSet 30.4
PresentationFpGroup 45.1
PresentationNormalClosure 45.3
PresentationNormalClosureRrs 45.3
Presentations and Tietze Transformations 45.0
PresentationSubgroup 45.3
PresentationSubgroupMtc 45.3
PresentationSubgroupRrs 45.3
PresentationViaCosetTable 45.1
previous result 6.1
PrevPrimeInt 14.3
primary subgroup generators 45.11
PrimaryGeneratorWords 45.3
Prime Integers and Factorization 14.3
prime residue group 15.0 15.1
prime residue group, exponent 15.1
prime residue group, generator 15.2
prime residue group, order 15.1
Prime Residues 15.1
PrimeBlocks 67.8
PrimeBlocksOp 67.8
PrimeField 55.2
PrimePGroup 36.14
PrimePowersInt 14.3
PrimeResidues 15.1
Primes V 14.3
Primitive Groups 40.4
Primitive Permutation Groups 47.8
primitive root modulo an integer 15.2
Primitive Roots and Discrete Logarithms 15.2
PrimitiveElement 55.2
PrimitiveGroup 47.8
PrimitiveGroupsIterator 47.8
PrimitiveIdentification 47.8
PrimitivePolynomial 62.11
PrimitiveRoot 56.3
PrimitiveRootMod 15.2
Primitivity of Characters 70.2
Print 6.2
PrintAmbiguity 69.3
PrintArray 24.4
PrintCharacterTable 67.10
PrintFactorsInt 14.3
PrintFormattingStatus 10.4
Printing Character Tables 67.10
Printing Class Functions 68.5
Printing Presentations 45.5
Printing Tables of Marks 66.4
PrintObj 6.2
PrintObj, for character tables 67.10 68.5
PrintObj, for tables of marks 66.4
PrintTo 9.7
PrintTo, for streams F 10.4
PrintToLib 71.9
problems 72.19
Problems on Particular Systems 72.6
procedure call 4.15
procedure call with arguments 4.15
Procedure Calls 4.15
Process 11.1
Processes 11.0
Product 21.16
product, matrices 24.2
product, matrix with matrixlist 24.2
product, matrix with vector 24.2
product, of words 34.4
product, rational functions 62.2
product, scalar and matrix list 24.2
product, vector with matrix 24.2
product, vector with matrixlist 24.2
ProductCoeffs 23.6
ProductSpace 59.8
ProductX 21.17
ProfileFunctions 7.7
ProfileGlobalFunctions 7.7
ProfileMethods 7.7
ProfileOperations 7.7
ProfileOperationsAndMethods 7.7
PROFILETHRESHOLD V 7.7
Profiling 7.7
ProjectedInducedPcgs 42.10
ProjectedPcElement 42.10
Projection 30.1 46.5
ProjectionMap 69.3
projections, find all 37.8
ProjectiveActionHomomorphismMatrixGroup 41.1
ProjectiveActionOnFullSpace 41.1
ProjectiveGeneralLinearGroup 47.2
ProjectiveGeneralUnitaryGroup 47.2
ProjectiveOrder 24.13
ProjectiveSpecialLinearGroup 47.2
ProjectiveSpecialUnitaryGroup 47.2
ProjectiveSymplecticGroup 47.2
prompt 6.1
prompt, partial 6.1
Properties 13.7
Properties and Attibutes of Matrices 24.3
Properties and Attributes for Lists 21.13
Properties and Attributes of (General) Mappings 30.2
Properties and Attributes of Rational Functions 62.4
Properties of a Lie Algebra 60.5
Properties of rewriting systems 35.3
Properties of Rings 53.4
Properties of Tables of Marks 66.8
PRump 36.11
PseudoRandom 28.6
PSL 47.2
PSP 47.2
PSp 47.2
PSU 47.2
PthPowerImage 60.8
PthPowerImages 60.8
Pure p-adic Numbers 64.1
PurePadicNumberFamily 64.1
PushOptions 8.0

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GAP 4 manual
February 2000