The GAP 4 Manual - Full Index P
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A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
- P, Property mark-up E 2.5 
- p-adic Numbers R 66.0 
- p-group R 37.14 
- package R 74.0 
- Package Completion E 4.10 
- PadicCoefficients R 25.2.3 
- PadicExtensionNumberFamily R 66.2.1 
- PadicNumber R 66.2.2 
- PadicNumber, for pure padics R 66.1.2 
- Pager R 2.4.1 
- Parametrized R 71.3.5 
- Parametrized Maps R 71.3 
- parametrized maps R 71.0 
- Parent R 30.7.1 
- ParentPcgs R 43.7.3 
- Parents R 30.7 
- Parents and Subgroups T 9.12 
- Partial Methods P 2.4 
- partial order R 32.2 
- PartialOrderByOrderingFunction R 32.4.6 
- PartialOrderOfHasseDiagram R 32.2.11 
- Partitions R 17.2.15 
- partitions, improper, of an integer R 17.2 
- partitions, ordered, of an integer R 17.2 
- partitions, restricted, of an integer R 17.2 
- PartitionsGreatestEQ R 17.2.20 
- PartitionsGreatestLE R 17.2.19 
- PartitionsSet R 17.2.13 
- PartitionTuples R 17.2.26 
- Pc Groups R 44.0 
- Pc groups versus fp groups R 44.3 
- PcElementByExponents R 43.5.6 
- PcElementByExponentsNC R 43.5.6 
- PCentralLieAlgebra R 61.8.5 
- PCentralSeries R 37.16.13 
- PcGroupCode R 44.9.3 
- PcGroupCodeRec R 44.9.4 
- PcGroupFpGroup R 44.4.1 
- PcGroupWithPcgs R 44.5.1 
- Pcgs R 43.2.1 
- Pcgs and Normal Series R 43.11 
- Pcgs_OrbitStabilizer R 43.15.2 
- PcgsByPcSequence R 43.3.1 
- PcgsByPcSequenceNC R 43.3.1 
- PcgsCentralSeries R 43.11.4 
- PcgsChiefSeries R 43.11.7 
- PcgsElementaryAbelianSeries R 43.11.2 
- PcgsPCentralSeriesPGroup R 43.11.6 
- PClassPGroup R 37.14.16 
- PCore R 37.10.3 
- PcSeries R 43.4.4 
- perfect groups R 48.8 
- PerfectGroup R 48.8.2 
- PerfectIdentification R 48.8.3 
- PerfectResiduum R 37.11.8 
- Permanent R 17.4.1 
- Permanent of a Matrix R 17.4 
- PermBounds R 70.14.3 
- PermCharInfo R 70.13.1 
- PermCharInfoRelative R 70.13.2 
- PermChars R 70.14.1 
- PermCharsTom R 68.12.2 
- PermComb R 70.14.4 
- PermGroupOps.ElementProperty T 9.3.4 
- PermLeftQuoTransformation R 52.0 
- PermList R 40.4.2 
- PermListList R 21.20.10 
- Permutation R 39.8.1 
- permutation character R 71.5 
- permutation characters, possible R 70.13 R 70.14 
- Permutation groups T 5.1 
- Permutation Groups R 41.0 
- PermutationCharacter R 70.7.3 
- PermutationCycle R 39.8.2 
- PermutationMat R 24.4.5 
- Permutations R 40.0 
- Permutations Induced by Elements and Cycles R 39.8 
- PermutationsFamily R 40.0 
- PermutationsList R 17.2.9 
- PermutationTom R 68.5.2 
- Permuted, as a permutation action R 39.2.14 
- Permuted R 21.20.15 
- Permuted, for class functions R 70.4 
- PGL R 48.2.8 
- PGU R 48.2.10 
- Phi R 15.1.2 
- Plain Lists T 3.1 
- Plain Records T 3.9 
- point stabilizer R 39.4 
- Polycyclic Generating Systems R 43.1 
- Polycyclic Groups R 43.0 
- Polynomial Factorization R 64.10 
- Polynomial Reduction R 64.16 
- Polynomial Rings R 64.14 
- PolynomialByExtRep R 64.20.2 
- PolynomialCoefficientsOfPolynomial R 64.6.2 
- PolynomialReduction, function R 64.16.1 
- PolynomialRing R 64.14.1 
- Polynomials T 9.17 
- Polynomials and Rational Functions R 64.0 
- Polynomials as Univariate Polynomials in one Indeterminate R 64.6 
- Polynomials over the Rationals R 64.11 
- PopOptions R 8.0 
- Portability R 9.1 
- Porting GAP R 73.16 
- Position R 21.16.1 
- Position T 9.3.3 
- Position vs. PositionCanonical T 5.2 
- Positional Objects P 3.10 
- PositionBound R 21.16.7 
- PositionCanonical R 21.16.2 
- PositionNonZero R 21.16.9 
- PositionNot R 21.16.8 
- PositionNthOccurrence R 21.16.3 
- PositionProperty R 21.16.6 
- PositionSet R 21.16.5 
- PositionSorted R 21.16.4 
- PositionStream R 10.3.8 
- PositionSublist R 21.16.10 
- PositionWord R 35.4.4 
- positive number R 4.12.1 
- PositiveIntegers R 14.0 
- PositiveRoots R 61.7.7 
- PositiveRootVectors R 61.7.9 
- Possible Permutation Characters R 70.13 
- possible permutation characters R 70.13 R 70.14 
- PossibleClassFusions R 71.2.6 
- PossibleFusionsCharTableTom R 68.12.1 
- PossiblePowerMaps R 71.1.2 
- power R 4.12.1 
- power, meaning for class functions R 70.4 
- power, matrix R 24.2.10 
- power, of words R 35.4 
- Power Maps R 71.1 
- PowerMap R 71.1.1 
- PowerMapByComposition R 71.1.4 
- PowerMapOp R 71.1.1 
- PowerMapsAllowedBySymmetrizations R 71.4.6 
- PowerMod R 54.7.8 
- PowerModCoeffs R 23.6.5 
- PowerModInt R 14.2.10 
- PowerPartition R 17.2.25 
- powerset R 17.2 
- PowerSubalgebraSeries R 60.8.4 
- PQuotient R 45.13.1 
- precedence R 4.12 
- precedence test, for permutations R 40.1.1 
- Preface T 1.0 
- PreferredGenerators N 4.2.10 
- PrefrattiniSubgroup R 37.11.7 
- PrefrattiniSubgroup, for groups with pcgs R 43.16 
- PreImage R 31.4.6 
- PreImageElm R 31.4.3 
- PreImages R 31.4.7 
- Preimages in the Free Group R 45.3 
- Preimages in the Free Semigroup R 51.3 
- Preimages under Homomorphisms from an FpGroup R 45.12 
- Preimages under Mappings R 31.4 
- PreImagesElm R 31.4.2 
- PreimagesOfTransformation R 52.0 
- PreImagesRange R 31.4.1 
- PreImagesRepresentative R 31.4.4 
- PreImagesSet R 31.4.5 
- preorder R 32.2 
- PresentationFpGroup R 46.1.1 
- PresentationNormalClosure R 46.3.6 
- PresentationNormalClosureRrs R 46.3.5 
- Presentations and Tietze Transformations R 46.0 
- PresentationSubgroup R 46.3.1 
- PresentationSubgroupMtc R 46.3.4 
- PresentationSubgroupRrs R 46.3.2 
- PresentationViaCosetTable R 46.1.5 
- previous result R 6.1 
- PrevPrimeInt R 14.3.5 
- primary subgroup generators R 46.11 
- PrimaryGeneratorWords R 46.3.3 
- Prime Integers and Factorization R 14.3 
- prime residue group, generator R 15.2 
- prime residue group, exponent R 15.1 
- prime residue group, order R 15.1 
- prime residue group R 15.0 R 15.1 
- Prime Residues R 15.1 
- PrimeBlocks R 69.9.1 
- PrimeBlocksOp R 69.9.1 
- PrimeField R 56.2.4 
- PrimePGroup R 37.14.15 
- PrimePowersInt R 14.3.8 
- PrimeResidues, function R 15.1.1 
- Primes R 14.3.1 
- primitive R 39.9 
- Primitive Groups R 41.4 
- Primitive Permutation Groups R 48.9 
- primitive root modulo an integer R 15.2 
- Primitive Roots and Discrete Logarithms R 15.2 
- PrimitiveElement R 56.2.3 
- PrimitiveGroup R 48.9.1 
- PrimitiveGroupsIterator R 48.9.3 
- PrimitiveIdentification R 48.9.4 
- PrimitiveIndexIrreducibleSolvableGroup R 48.10.5 
- PrimitivePolynomial R 64.11.1 
- PrimitiveRoot R 57.3.2 
- PrimitiveRootMod R 15.2.3 
- Primitivity of Characters R 72.2 
- Print R 6.2.2 
- Print T 9.3.5 
- PrintAmbiguity R 71.3.14 
- PrintArray R 24.4.10 
- PrintCharacterTable R 69.11.2 
- PrintFactorsInt R 14.3.7 
- PrintFormattingStatus R 10.4.9 
- PrintHashWithNames N 2.3.2 
- Printing Character Tables R 69.11 
- Printing Class Functions R 70.5 
- Printing Presentations R 46.5 
- Printing Tables of Marks R 68.4 
- PrintObj R 6.2.3 
- PrintObj, for character tables R 69.11 R 70.5 
- PrintObj, for tables of marks R 68.4 
- PrintTo T 9.3.6 
- PrintTo R 9.7.3 
- PrintTo, for streams R 10.4.4 
- problems R 73.19 
- Problems on Particular Systems R 73.6 
- procedure call R 4.15.1 
- procedure call with arguments R 4.15.1 
- Procedure Calls R 4.15 
- Process R 11.1 R 11.1.1 
- Processes R 11.0 
- Producing a Manual E 2.13 
- Product R 21.20.22 
- product, of words R 35.4 
- product, rational functions R 64.2.1 
- ProductCoeffs R 23.6.2 
- ProductSpace R 60.8.3 
- ProductX R 21.21.4 
- ProfileFunctions R 7.7.5 
- ProfileGlobalFunctions R 7.7.7 
- ProfileMethods R 7.7.3 
- ProfileOperations R 7.7.1 
- ProfileOperationsAndMethods R 7.7.2 
- PROFILETHRESHOLD R 7.7.9 
- Profiling R 7.7 
- ProjectedInducedPcgs R 43.10.2 
- ProjectedPcElement R 43.10.1 
- Projection R 31.1.11 
- Projection, example for semidirect products R 47.2 
- Projection, example for subdirect products R 47.3 
- Projection, example for wreath products R 47.4 
- Projection, for group products R 47.5.2 
- Projection N 4.4.1 
- Projection, example for direct products R 47.1 
- ProjectionMap R 71.3.3 
- projections, find all