The GAP 4 Manual - Full Index C

_ 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

C, Category mark-up E 2.5

c_N R 18.4

Calculating with Group Automorphisms R 38.8

Calendar Arithmetic R 26.7

CallFuncList R 5.2.1

Calling a function with a list argument that is interpreted as several arguments R 5.2

Calling of and Communication with External Binaries E 4.7

Cancellation Tests for Rational Functions R 64.22

CanComputeIndex R 37.24.4

CanComputeIsSubset R 37.24.5

CanComputeSize R 37.24.2

CanComputeSizeAnySubgroup R 37.24.3

candidates, for permutation characters R 70.13 R 70.14

CanEasilyCompareElements R 30.11.2

CanEasilyCompareElementsFamily R 30.11.2

CanEasilyComputePcgs R 43.2.3

CanEasilySortElements R 30.11.2

CanEasilySortElementsFamily R 30.11.2

CanEasilyTestMembership R 37.24.1

canonical basis, for matrix spaces R 59.8

canonical basis, for row spaces R 59.8

CanonicalBasis R 59.4.3

CanonicalElt N 3.2.4

CanonicalGenerators R 61.7.14

CanonicalPcElement R 43.5.9

CanonicalPcgs R 43.8.2

CanonicalPcgsByGeneratorsWithImages R 43.9.7

CanonicalRepresentativeDeterminatorOfExternalSet R 39.11.14

CanonicalRepresentativeOfExternalSet R 39.11.13

CanonicalRightCosetElement R 37.6.3

Carmichael's lambda function R 15.1

carriage return character R 26.1

CartanMatrix R 61.7.12

CartanSubalgebra R 61.3.7

Cartesian R 21.20.14

CAS R 69.20

CAS format R 69.20

CAS tables R 69.20

CASString R 69.20.1

Categories R 13.3

Categories and Properties of Algebras R 60.7

Categories for Streams and the StreamsFamily R 10.1

Categories of Associative Words R 35.1

Categories of Matrices R 24.1

Categories of Words and Nonassociative Words R 34.1

CategoriesOfObject R 13.3.1

CategoryCollections R 28.1.4

CategoryCollections P 3.1.2

CategoryFamily P 3.1.3

Catering for Plain Text and HTML Formats E 2.11

Center R 33.4.5

center R 33.4

central character R 70.8

CentralCharacter R 70.8.17

CentralIdempotentsOfAlgebra R 60.8.17

centraliser R 33.4

Centralizer R 33.4.4

Centralizer, for groups with pcgs R 43.16

CentralizerInGLnZ R 42.5.8

CentralizerModulo R 37.17.7

CentralizerSizeLimitConsiderFunction R 43.17.2

Centre, for groups with pcgs R 43.16

centre, of a character R 70.8

Centre R 33.4.5

CentreOfCharacter R 70.8.11

ChainHomomorphicImage N 5.0

Chains of subgroups N 5.0

ChainStatistics N 5.0

ChainSubgroup N 5.0

ChainSubgroupByDirectProduct N 5.3.1

ChainSubgroupByHomomorphism N 5.2.1

ChainSubgroupByProjectionFunction N 5.2.2

ChainSubgroupByPSubgroupOfAbelian N 5.3.2

ChainSubgroupBySiftFunction N 5.4.2

ChainSubgroupByStabiliser N 5.1.4

ChainSubgroupByTrivialSubgroup N 5.4.1

ChainSubgroupQuotient N 5.2.4

Changed Command Line Options T 9.1

Changed Functionality T 9.3

Changed Variable Names T 9.4

ChangedBaseGroup N 5.1.7

Changes from Earlier Versions T 1.4

ChangeStabChain R 41.10.3

Changing Presentations R 46.6

Changing the Help Viewer R 2.3

Changing the Representation R 30.5

Changing the Structure R 30.4

Changing the Structure T 7.6

Chapters and Sections E 2.2

Character R 70.6.3

Character Degrees and Derived Length R 72.1

Character Table Categories R 69.4

character tables, access to R 69.3

character tables, calculate R 69.3

character tables, infix operators R 69.7

character tables, of groups R 69.3

Character Tables R 69.0

character tables R 69.3

character value, of group element using powering operator R 70.4

CharacterDegrees R 69.8.1

characteristic, for class functions R 70.4

Characteristic R 30.10.1

characteristic polynomial, for field elements R 56.3

CharacteristicPolynomial R 24.12.1

CharacterNames R 69.8.10

characters R 70.0

characters, permutation R 70.13 R 70.14

characters, symmetrizations of R 70.11

CharacterTable R 69.3.1

CharacterTableDirectProduct R 69.17.1

CharacterTableFactorGroup R 69.17.2

CharacterTableIsoclinic R 69.17.3

CharacterTableWithSortedCharacters R 69.18.1

CharacterTableWithSortedClasses R 69.18.3

CharacterTableWreathSymmetric R 69.17.4

CharsFamily R 26.2.4

CharTable T 9.4

CheckFixedPoints R 71.3.10

CheckForHandlingByNiceBasis R 59.11.3

CheckPermChar R 71.5.2

ChevalleyBasis R 61.7.2

ChiefSeries R 37.16.1

ChiefSeriesThrough R 37.16.2

ChiefSeriesUnderAction R 37.16.3

Chinese remainder R 14.2

ChineseRem R 14.2.9

Chomp R 26.5.11

CIUnivPols R 64.1.5

class function R 70.0

class function objects R 70.0

class functions, as ring elements R 70.4

class functions R 71.3

Class Functions R 70.0

Class Fusions between Character Tables R 71.2

class multiplication coefficient R 69.10

ClassElementLattice R 37.19.2

classes, real R 69.8

ClassesSolvableGroup R 43.17.1

ClassFunction R 70.6.1

ClassFunctionSameType R 70.6.4

Classical Groups R 48.2

ClassMultiplicationCoefficient, for character tables R 69.10.6

ClassNames R 69.8.10

ClassNamesTom R 68.7.5

ClassOrbit R 69.8.15

ClassPermutation R 69.18.5

ClassPositionsOfAgemo R 69.8.18

ClassPositionsOfCentre, for character tables R 69.8.19

ClassPositionsOfCentre, for characters R 70.8.12

ClassPositionsOfDerivedSubgroup R 69.8.21

ClassPositionsOfDirectProductDecompositions R 69.8.20

ClassPositionsOfElementaryAbelianSeries R 69.8.22

ClassPositionsOfFittingSubgroup R 69.8.23

ClassPositionsOfKernel R 70.8.10

ClassPositionsOfLowerCentralSeries R 69.8.24

ClassPositionsOfMaximalNormalSubgroups R 69.8.17

ClassPositionsOfNormalClosure R 69.8.27

ClassPositionsOfNormalSubgroup R 69.22.2

ClassPositionsOfNormalSubgroups R 69.8.17

ClassPositionsOfSupersolvableResiduum R 69.8.26

ClassPositionsOfUpperCentralSeries R 69.8.25

ClassRoots R 69.8.16

ClassStructureCharTable R 69.10.7

ClassTypesTom R 68.7.4

CleanedTailPcElement R 43.5.11

ClearCacheStats R 7.7.12

ClearProfile R 7.7.10

clone, an object R 12.7

CloseMutableBasis R 59.7.6

CloseStream R 10.2.1

Closure Operations and Other Constructors R 32.4

ClosureGroup R 37.4.1

ClosureGroupAddElm R 37.4.2

ClosureGroupCompare R 37.4.2

ClosureGroupDefault R 37.4.3

ClosureGroupIntest R 37.4.2

ClosureLeftModule R 55.2.3

ClosureNearAdditiveGroup R 53.4.1

ClosureRing R 54.1.9

Closures of (Sub)groups R 37.4

ClosureSomething T 7.5

ClosureStruct R 30.3.6

ClosureSubgroup R 37.4.4

ClosureSubgroupNC R 37.4.4

Coboundaries R 61.12.8

Cochain R 61.12.3

CochainSpace R 61.12.4

cocycles R 37.22

Cocycles R 61.12.7

CodePcGroup R 44.9.2

CodePcgs R 44.9.1

Coding a Pc Presentation R 44.9

coefficient, binomial R 17.1

Coefficient List Arithmetic R 23.3

Coefficients R 59.5.3

coefficients, for cyclotomics R 18.1

CoefficientsAndMagmaElements R 63.2.3

CoefficientsFamily R 64.17.3

CoefficientsMultiadic R 14.2.8

CoefficientsOfLaurentPolynomial R 64.12.2

CoefficientsOfUnivariatePolynomial R 64.4.9

CoefficientsOfUnivariateRationalFunction R 64.4.7

CoefficientsQadic R 14.2.7

CoefficientsRing R 64.14.3

CoeffsCyc R 18.1.8

CoeffsMod R 23.3.4

cohomology R 37.22

COHORTS_PRIMITIVE_GROUPS R 48.9.6

cokernel T 5.4

CoKernelOfAdditiveGeneralMapping R 31.9.6

CoKernelOfMultiplicativeGeneralMapping R 31.8.6

CollapsedMat R 71.3.16

Collected R 21.20.3

Collection Families R 28.1

Collections R 28.0

CollectionsFamily R 28.1.1

CollectionsFamily P 3.6.2

ColumnIndexOfReesMatrixSemigroupElement R 49.6.8

ColumnIndexOfReesZeroMatrixSemigroupElement R 49.6.8

Combinations R 17.2.1

Combinations, Arrangements and Tuples R 17.2

Combinatorial Numbers R 17.1

CombinatorialCollector R 44.4.2

Combinatorics R 17.0

Comm R 30.12.3

Comm, for words R 35.4

Command Line Options R 3.1

command mark-up E 2.5

comments R 4.4

comments T 2.1

CommutativeDiagram R 71.3.9

CommutatorFactorGroup R 37.17.3

CommutatorLength, for character tables R 69.8

CommutatorLength R 37.11.4

CommutatorSubgroup R 37.11.2

Compacted R 21.20.2

CompanionMat R 24.12.5

CompareVersionNumbers R 74.4.8

comparison, operation R 30.11.1

comparison, rational functions R 64.3.1

comparison, fp semigroup elements R 51.2.1

Comparison of Associative Words R 35.3

Comparison of Class Functions R 70.3

Comparison of Elements of Finitely Presented Groups R 45.2

Comparison of Elements of Finitely Presented Semigroups R 51.2

Comparison of Permutations R 40.1

Comparison of Rational Functions R 64.3

Comparison of Words R 34.2

Comparison Operations for Elements R 30.11

Comparisons R 4.11

comparisons, of lists R 21.10

comparisons, of booleans R 20.2.1

Comparisons of Booleans R 20.2

Comparisons of Cyclotomics R 18.3

Comparisons of Lists R 21.10

Comparisons of Records R 27.4

Comparisons of Strings R 26.4

Compatibility Mode T 9.20

Compatibility of Residue Class Rings with Prime Fields P 5.4

CompatibleConjugacyClasses R 69.6.5

CompatiblePairs R 44.8.8

Compiling Library Code R 3.8

Complementclasses R 37.10.6

ComplementclassesEA R 37.22.4

ComplementSystem R 37.12.5

CompleteSchreierTransversal N 4.2.9

Completion Files R 3.5

ComplexConjugate R 58.2.4

ComplexConjugate, for class functions R 70.4

ComplexificationQuat R 60.4.2

Component Objects P 3.9

Components of a Dixon Record R 69.15

Components versus Attributes P 4.7

CompositionMapping R 31.1.4

CompositionMapping, for Frobenius automorphisms R 57.4

CompositionMapping2 R 31.1.5

CompositionMaps R 71.3.1

CompositionOfStraightLinePrograms R 35.8.7

CompositionSeries R 37.16.5

CompositionSeries, for groups with pcgs R 43.16

ComputedBrauerTables R 69.3.2

ComputedClassFusions R 71.2.2

ComputedIndicators R 69.10.4

ComputedIsPSolvableCharacterTables R 69.10.2

ComputedPowerMaps R 71.1.1

ComputedPrimeBlockss R 69.9.1

Computing a Pcgs R 43.2

Computing a Permutation Representation R 41.2

Computing Pc Groups R 44.5

Computing Possible Permutation Characters R 70.14

Computing the Irreducible Characters of a Group R 69.12

Concatenation R 21.20.1

concatenation, of lists R 21.20

Conductor R 18.1.5

ConfluentRws R 36.1.6

Congruences, for character tables R 71.4.2

Congruences for semigroups R 49.3

Conjugacy Classes R 37.9

Conjugacy Classes in Classical Groups R 48.3

Conjugacy Classes in Solvable Groups R 43.17

ConjugacyClass R 37.9.1

ConjugacyClasses, for character tables R 69.6.2

ConjugacyClasses, for linear groups R 48.3

ConjugacyClasses, for groups with pcgs R 43.16

ConjugacyClasses, attribute R 37.9.2

ConjugacyClassesByOrbits R 37.9.4

ConjugacyClassesByRandomSearch R 37.9.3

ConjugacyClassesMaximalSubgroups R 37.18.4

ConjugacyClassesPerfectSubgroups R 37.19.6

ConjugacyClassesSubgroups R 37.18.3

ConjugacyClassSubgroups R 37.18.1

conjugate, of a word R 35.4

conjugate, matrix R 24.2.10

ConjugateDominantWeight R 61.7.20

ConjugateDominantWeightWithWord R 61.7.20

ConjugateGroup R 37.2.5

Conjugates R 56.3.6

ConjugateSubgroup R 37.3.8

ConjugateSubgroups R 37.3.9

conjugation R 39.2

ConjugatorAutomorphism R 38.6.2

ConjugatorAutomorphismNC R 38.6.2

ConjugatorIsomorphism R 38.6.1

ConjugatorOfConjugatorIsomorphism R 38.6.5

ConnectGroupAndCharacterTable R 69.6.4

ConsiderKernels R 71.4.3

ConsiderSmallerPowerMaps R 71.4.4

ConsiderTableAutomorphisms R 71.5.3

constants T 2.3

Constants and Operators T 2.3

ConstantTimeAccessList R 21.17.6

constituent, of a group character R 70.8

ConstituentsCompositionMapping R 31.1.7

ConstituentsOfCharacter R 70.8.8

Constructing Algebras as Free Algebras R 60.2

Constructing Algebras by Generators R 60.1

Constructing Algebras by Structure Constants R 60.3

Constructing Character Tables from Others R 69.17

Constructing Domains R 30.3

Constructing Lie algebras R 61.2

Constructing Pc Groups R 44.4

Constructing Subdomains R 30.8

Constructing Tables of Marks R 68.3

Constructing Vector Spaces R 59.1

Construction of Stabilizer Chains R 41.7

Constructors for Basic Groups R 48.4

ContainedCharacters R 71.3.17

ContainedDecomposables R 71.3.17

ContainedMaps R 71.3.6

ContainedPossibleCharacters R 71.3.15 R 71.3

ContainedPossibleVirtualCharacters R 71.3.15 R 71.3

ContainedSpecialVectors R 71.3.15 R 71.3

ContainedTom R 68.9.5

ContainingTom R 68.9.6

continuation E 2.10

Continue R 4.21

continue statement R 4.21.1

Conventions for Character Tables R 69.5

convert, to a string R 26.2

Converting Groups to Finitely Presented Groups R 45.10

ConvertToCharacterTable R 69.3.4

ConvertToCharacterTableNC R 69.3.4

ConvertToMatrixRep R 24.13.2

ConvertToRangeRep R 21.22.2

ConvertToStringRep R 26.2.2

ConvertToTableOfMarks R 68.6.5

ConvertToVectorRep R 23.2.1

Conway Polynomials R 57.5

ConwayPolynomial R 57.5.1

coprime R 4.12

copy, an object R 12.7

Copy R 12.7

Copy T 9.7

Copying Weak Pointer Objects E 7.5

CopyOptionsDefaults R 41.10.2

Copyright R 75.0

Copyright N 6.0

Copyright Notice N 6.0

Copyright Notice R 75.0

Copyright of GAP for MacOS R 73.13

Copyright of GAP for Windows R 73.9

CopyStabChain R 41.10.1

Core R 37.10.2

CorrespondingGeneratorsByModuloPcgs R 43.9.6

coset R 37.6

Coset Tables and Coset Enumeration R 45.5

Coset tables for subgroups in the whole group R 45.7

CosetLeadersMatFFE R 23.5.6

Cosets R 37.6

CosetTable R 45.5.1

CosetTableBySubgroup R 45.5.4

CosetTableDefaultLimit R 45.5.7

CosetTableDefaultMaxLimit R 45.5.6

CosetTableFromGensAndRels R 45.5.5

CosetTableInWholeGroup R 45.7.1

CosetTableOfFpSemigroup R 51.6.1

CosetTableStandard R 45.6.1

CRC R 3.9

CRC Numbers R 3.9

CrcFile R 9.7.11

CrcFile, example R 3.9

CreateCompletionFiles R 3.5.1

CreateCompletionFilesPkg E 4.10.1

Creating Attributes and Properties P 3.3

Creating Categories P 3.1

Creating Character Tables R 69.3

Creating Class Functions from Values Lists R 70.6

Creating Class Functions using Groups R 70.7

Creating Families P 3.6

Creating Finite Fields R 57.3

Creating Finitely Presented Groups R 45.1

Creating Finitely Presented Semigroups R 51.1

Creating Group Homomorphisms R 38.1

Creating Groups R 37.2

Creating hom cosets and quotient groups N 3.1

Creating Mappings R 31.1

Creating New Objects P 3.0

Creating Objects P 3.8

Creating Operations P 3.5

Creating Other Filters P 3.4

Creating Own Arithmetic Objects P 4.12

Creating Permutations R 40.4

Creating Presentations R 46.1

Creating Representations P 3.2

Creating Types P 3.7

Creation of Algebraic Extensions R 65.1

Creation of Rational Functions R 64.20

Credit R 1.2

CrystGroupDefaultAction R 42.6.1

Cycle R 39.8.3

CycleLength R 39.8.4

CycleLengths R 39.8.6

Cycles R 39.8.5

CycleStructureClass R 70.8.14

CycleStructurePerm R 40.3.2

CyclicExtensionsTom R 68.9.7

CyclicGroup R 48.1.2

cyclotomic field elements R 18.0

Cyclotomic Numbers R 18.0

Cyclotomic Polynomials R 64.9

CyclotomicField R 58.0 R 58.0 R 58.0 R 58.0

CyclotomicPolynomial R 64.9.1

Cyclotomics R 18.1.2

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