The GAP Manual -- Index
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
- .gaprc 55.4 55.8 55.16
- 2-groups 37.8
- 3-groups 37.9
- 4.2BSD 55.2
- 4.3BSD 55.2
/
for character tables 48.9
- bN 13.12
- cN 13.12
- dN 13.12
- Dn lattices 50.40
- eN 13.12
- fN 13.12
- gN 13.12
- hN 13.12
- iN 13.12
- jN 13.12
- kN 13.12
- lN 13.12
- mN 13.12
- nk 13.12
- rN 13.12
- sN 13.12
- tN 13.12
- uN 13.12
- vN 13.12
- wN 13.12
- xN 13.12
- yN 13.12
- AbelianComponent 63.5
- AbelianGroup 37.1
- AbelianGroup for ag groups 25.9
- AbelianInvariants for character tables 48.8
- AbelianInvariants for finitely presented groups 23.3
- AbelianInvariantsNormalClosureFpGroup 23.3
- AbelianInvariantsNormalClosureFpGroupRrs 23.3
- AbelianInvariantsSubgroupFpGroup 23.3
- AbelianInvariantsSubgroupFpGroupMtc 23.3
- AbelianInvariantsSubgroupFpGroupRrs 23.3
- absolute value of an integer 10.7
- abstract word 22.0
- AbstractWordTietzeWord 23.8
- accessing list elements 27.4
- accessing record elements 45.1
- action 72.0
- add an element to a list 27.7
- add an element to a set 28.4
- add elements to a list 27.8
- add the elements of a list 27.37
- AddBase for vector space 9.7
- AddGenerator 23.9
- AddRelator 23.9
- Affine 94.1
- AG generating sequence 24.1
- ag group 24.1
- Ag Groups 25.0
- AG system 24.1
- Ag Words 24.0
- Agemo for character tables 48.8
- AgGroup for Permutation Groups 21.21
- AgGroupQClass 37.13
- Algebra for MeatAxe Matrices 62.7
- AllIrreducibleSolvableGroups 37.10
- AllPrimitiveGroups 37.5
- AllSmallGroups 37.14
- AllSolvableGroups 37.7
- AllThreeGroups 37.9
- AllTransitiveGroups 37.6
- AllTwoGroups 37.8
- AlternatingGroup 37.1
- and 44.2
- append elements to a list 27.8
- append one string to another 30.2
- append to a file 3.16
- Apple 55.9
- AsGroup for ag groups 25.9
- assignment to a list 27.6
- assignment to a record 45.2
- assignment variable 2.12
- Associates for gaussians 14.7
- associativity 2.10
- Atari ST 55.13
- atomic irrationalities 13.12
- augmented coset table 23.11 23.11
- automorphism group of a character table 48.42
- automorphism group of a field 6.7
- automorphism group of a matrix 48.41
- automorphism group of an extension field 16.8
- automorphism group of number fields 15.8
- Automorphisms of p-groups 64.4
- Automorphisms for character tables 48.8
- backslash 30.0
- Base for MeatAxe Modules 62.19
- base of a number field 15.11
- base of vector space 32.0
- Base of vector space 9.6
- blank 2.3
- blist 29.0
- Blocks for Permutation Groups 21.22
- BNF 2.20
- body 2.18
- bound 2.7
- Brauer tables format 48.3
- BrauerTableOps 48.7
- BSD 55.2
- CallPCQA 63.3
- CallVE 66.2
- candidates for permutation characters 50.26 50.27
- Canonical basis 65.1
- Carmichaels lambda function 11.3
- Cartan matrices 77.1
- Cartesian product 48.17
- CAS tables,CAS format,CAS 48.54
- Centralizer for ag groups 25.9
- Centralizer for matrix groups 36.2
- Centralizer for Permutation Groups 21.21
- centralizer in GL(d,Z) 58.24
- Centre for class functions 53.4
- Centre for character tables 48.8
- CF 15.4
- character table display 48.37
- character tables 48.11 52.0
- character tables access to 48.12
- character tables ATLAS 52.3
- character tables calculate 48.12
- character tables CAS 52.4 52.5
- character tables computation 48.13
- character tables conventions 48.10
- character tables format 48.2
- character tables generic 49.0 49.2 49.3
- character tables libraries of 52.1
- character tables of groups 48.12
- character tables sort 48.38 48.39 48.40
- character permutation 7.66
- CharacterDegrees for character tables 48.8
- characteristic polynom of a field element 6.9
- characteristic of a finite field element 18.5
- CharacteristicPolynomial for MeatAxe matrices 62.7
- Characters of Finite Polycyclic Groups 48.26
- characters induce from cyclic subgroups 50.23
- characters induced 50.22
- characters inflated 50.21
- characters irreducible differences of 50.19
- characters permutation 50.26 50.27
- characters reduced 50.10 50.11
- characters restricted 50.20
- characters scalar product of 50.1 50.2
- characters sort 48.38
- characters symmetrisations of 50.13 50.14 50.15 50.16
- Characters table of inductions 95.18
- characters tensor products of 50.12
- CharParams for reflection groups 79.0
- CharTableOps 48.7
- CharTableQClass 37.13
- chinese remainder 10.9
- ChooseRandomElements 61.52
- class functions 51.1
- class multiplication coefficient 48.30 48.31 48.32
- class names 48.29
- classes collapse 50.24
- classes of cyclic subgroup 48.34
- classes real 48.33
- classes roots of 48.35
- ClassInvariants 77.3
- clone an object 45.11 45.12
- Coefficient 95.13
- coefficient binomial 46.2
- coefficients for cyclotomics 13.8
- Coefficients in vector space 9.10
- colorings inequivalent!for space groups 58.40
- CombinatoricSplit 48.13
- Comm for group elements 7.3
- Comm for words 22.4
- comments 2.3
- CommutatorFactorGroup for finitely presented groups 23.3
- Commutators 61.52
- CommutatorSubgroup for ag groups 25.9
- comparison of double cosets 7.95
- comparison of right cosets 7.87
- comparisons of booleans 44.1
- comparisons of finite field elements 18.2
- comparisons of integers 10.1
- comparisons of lists 27.12
- comparisons of polynomials 19.5
- comparisons of rationals 12.4
- comparisons of strings 30.4
- CompositionFactors for MeatAxe Modules 62.20
- CompositionMapping for Frobenius automorphisms 18.11
- CompositionMapping for GroupHomomorphismByImages 7.112
- CompositionMapping for GroupHomomorphismByImages for permutation groups 21.23
- CompositionSeries for Permutation Groups 21.21
- concatenation of lists 27.19
- concatenation of strings 30.2
- conductor 15.5
- ConjugacyClasses 77.3
- ConjugacyClasses for ag groups 25.9
- ConjugacyClasses for matrix groups 36.2
- Conjugate Subgroup of Permutation Group 21.21
- conjugate of a group 7.116
- conjugate of a group element 7.3
- conjugate of a word 22.4
- Conjugates for finite fields 18.13
- Conjugates for gaussians 14.6
- conjugates of a field element, Galois 6.12
- ConjugateSubgroup for ag groups 25.9
- convert a finite field element to an integer 18.8
- convert permutation to transformation 70.12
- convert relation to transformation 69.22
- convert to a list 27.2
- convert to a set 28.2
- convert to a string 30.1
- convert to an integer 10.6
- convert transformation to permutation 70.13
- convert transformation to relation 69.21
- copy an object 45.11 45.12
- Coset 7.85
- coset double 7.93 7.94
- Coset for Permutation Groups 21.21
- coset left 7.90 7.91
- coset right 7.85 7.86
- cosets double 7.92
- Cosets for Permutation Groups 21.21
- cosets left 7.89
- cosets right 7.84
- cross product of lists 27.23
- crystallographic groups 37.13
- CrystGroup conjugated 58.10
- CrystGroups other functions 58.29
- CyclicGroup 37.1
- CyclicGroup for ag groups 25.9
- cyclotomic field elements 13.1
- DadeGroup 37.13
- DadeGroupNumbersZClass 37.13
- data type unknown 17.0
- DCT 67.133
- DCT\_I 67.137
- DCT\_IV 67.135
- DEC 50.3
- decomposition matrix 50.3
- decomposition of polynomials 16.18
- DecompositionInt 50.4
- DecompositionMatrix for Weyl groups 77.3
- DecompositionMatrix TeX 65.3
- default field for cyclotomics 15.5
- default functions 4.2
- default ring for cyclotomic integers 15.6
- DefaultField for algebraic extensions 16.10
- defect 16.15
- Degree for class functions 53.4
- degree of a finite field element 18.6
- denominator of a rational 12.3
- DerivedSeries for ag groups 25.9
- DerivedSubgroup for character tables 48.8
- Determinant for characters 53.4
- determinant integer matrix 102.17
- DFT 67.129
- DHT 67.131
- difference of algebra elements 38.26
- difference of boolean lists 29.8
- difference of gaussians 14.2
- difference of list and algebra element 38.26
- difference of records 45.5
- DihedralGroup 37.1
- Dimension for MeatAxe Modules 62.19
- dimension of vector space 32.0
- Dimension of vector space 9.8
- Dimensions for MeatAxe matrices 62.7
- direct product 48.17
- DirectProduct for ag groups 25.9
- DirectProduct for groups 7.99
- DirectProduct for Permutation Groups 21.21
- DirectProductPermGroupCentralizer 21.21
- DirectProductPermGroupCentre 21.21
- DirectProductPermGroupSylowSubgroup 21.21
- discrete logarithm of a finite field element 18.9
- dispatcher functions 4.2
- Display for MeatAxe matrices 62.7
- Display for MeatAxe Permutations 62.12
- Display for character tables 48.8
- DisplayCrystalFamily 37.13
- DisplayCrystalSystem 37.13
- DisplayImfInvariants 37.12
- DisplayInformationPerfectGroups 37.11
- DisplayMat 61.52
- DisplayQClass 37.13
- DisplaySpaceGroupGenerators 37.13
- DisplaySpaceGroupType 37.13
- DisplayZClass 37.13
- divisors of an integer 10.21
- Dixon Schneider 48.12
- DixonInit 48.13
- DixonSplit 48.13
- DixontinI 48.13
- DnLatticeIterative 50.40
- do 2.17
- domain record for right cosets 7.88
- DoubleCosetGroupOps 7.95
- doublequotes 30.0
- E 13.1
- EAbacus 65.39
- EB 13.12
- EC 13.12
- ED 13.12
- EE 13.12
- EF 13.12
- EG 13.12
- EH 13.12
- EI 13.12
- EJ 13.12
- EK 13.12
- EL 13.12
- ElementaryAbelianGroup 37.1
- ElementaryAbelianGroup for ag groups 25.9
- ElementaryAbelianSeries for ag groups 25.9
- ElementaryAbelianSeries for character tables 48.8
- ElementaryAbelianSeries for Permutation Groups 21.21
- ElementOfOrder 61.52
- Elements for ag groups 25.5
- Elements for Conjugacy Classes 7.71
- Elements for conjugacy classes of subgroups 7.77
- Elements for double cosets 7.95
- Elements for finite fields 18.12
- Elements for finitely presented groups 23.2
- Elements for groups 7.113
- Elements for Permutation Groups 21.20
- Elements for right cosets 7.87
- Elements for Transformation Monoids 71.7
- Elements for vector spaces 9.4
- Elements of a D class of transformations 71.13
- elements of a domain 4.6
- Elements of a Green class 68.22
- Elements of an H class of transformations 71.10
- Elements of an L class of transformations 71.12
- Elements of an R class of transformations 71.11
- ElementWithCharPol 61.52
- elif 2.14
- else 2.14
- EltWord 76.1
- EM 13.12
- Embedding into direct products 7.98
- Embedding into semidirect products 7.100
- embeddings of lattices 50.36
- end 2.18
- environment 2.18
- equality for field homomorphisms 6.16
- equality of ag words 24.2
- equality of algebra elements 38.26
- equality of amats 67.43
- equality of areps 67.85
- equality of gaussians 14.1
- equality of group elements 7.2
- equality of group homomorphisms 7.108
- equality of monoid elements 68.1
- equality of mons 67.3
- equality of records 45.4
- equality of relations 69.7
- equality of transformations 70.4
- ER 13.12
- errors syntax 3.1
- ES 13.12
- ET 13.12
- EU 13.12
- EuclideanDegree for gaussians 14.7
- EuclideanDegree for polynomials 19.18 19.19
- EuclideanQuotient for gaussians 14.7
- EuclideanQuotient for polynomials 19.18
- EuclideanRemainder for gaussians 14.7
- EuclideanRemainder for polynomials 19.18
- Eulers totient function 11.2
- EV 13.12
- EvaluateRelation 61.36
- evaluation 2.6
- EW 13.12
- EX 13.12
- execution 2.11
- Exponent for character tables 48.8
- exponent of the prime residue group 11.3
- ExponentsPermSolvablePermGroup 21.21
- ExtendPCQA 63.4
- EY 13.12
- factor group table of 48.15
- FactorGroup for ag groups 25.58
- factorization of an integer 10.20
- Factors for gaussians 14.7
- Factors for polynomials 19.18 19.19
- fast Fourier transform 67.123
- features under MS-DOS 55.8
- features under TOS 55.16
- features under UNIX 55.4
- fi 2.14
- Field Extensions 16.0
- field homomorphisms Frobenius 18.11
- field homomorphisms of algebraic extensions 16.9
- field cyclotomic 15.4
- field finite 18.0
- Field for algebraic extensions 16.10
- field for cyclotomics 15.5
- field galois 18.0
- field number 15.3
- file append to a 3.16
- file load a 3.12
- file load a library 3.13
- file log input to a 3.18
- file log to a 3.17
- file print to a 3.15
- file read a 3.12
- file read a library 3.13
- find an element in a list 27.15
- find an element in a sorted list 27.16 27.17
- Fingerprint for MeatAxe Matrix Algebras 62.16
- finiteness test for domains 4.9
- FittingSubgroup for character tables 48.8
- Fock space 65.1
- for 2.17
- for loop 2.17
- Fourier transform 67.93 67.123
- FpAlgebraOps.OperationQuotientModule 66.2
- FpGroup for ag groups 25.9
- FpGroup for CrystGroups 58.12
- FpGroup for point groups 58.11
- FpGroup for space groups 37.13
- FpGroupPresentation 23.8
- FpGroupQClass 37.13
- Frame 50.17
- FrattiniSubgroup for character tables 48.8
- Frobenius group 37.5
- Frobenius Schur indicator 50.7
- ftp 55.1
- full relation monoid 69.0
- full transformation monoid 71.3
- function 2.18
- fusion map get 48.45
- fusion of classes 48.22
- fusion store 48.46
- FusionConjugacyClasses 77.3
- FusionConjugacyClasses for character tables 48.8
- fusions 51.13
- Galois 16.16
- galois automorphism 13.11
- galois conjugate characters 13.15
- galois conjugate unique 13.13
- Galois conjugates of a field element 6.12
- galois conjugation 13.11
- galois field 18.0
- Galois group of a field 6.7
- Galois group of an extension field 16.8
- GaloisGroup for finite fields 18.13
- GAP for MS-DOS 55.5
- gap.rc 55.8 55.16
- Gcd for polynomials 19.18 19.19
- GcdPartitions 101.3
- GeneralLinearGroup 37.1
- GeneralUnitaryGroup 37.1
- generator of the prime residue group 11.5 11.6
- generators of Galois group 15.7
- generic character tables 48.11 52.0
- GenericParameters 61.23
- GF 18.10
- GoodNodeSequences 65.30
- grading 72.0
- Group for MeatAxe Matrices 62.7
- group homomorphisms by images 7.112
- group homomorphisms conjugation 7.110
- group homomorphisms inner 7.111
- group homomorphisms natural 7.109
- group homomorphisms operation 8.19
- Group for ag groups 25.9
- GroupHomomorphismsByImages for permutation groups 21.23
- H.Ordering Specht 65.3
- Hasse 101.5
- HClasses of a D class of transformations 71.13
- HClasses of an L class of transformations 71.12
- HClasses of an R class of transformations 71.11
- Hecke algebras crystal decomposition matrix 65.4
- Hecke algebras decomposition matrix 65.3
- Hecke Specht 65.1
- help abbreviating 3.10
- help browsing 3.8
- help format 3.7
- help index 3.11
- help redisplaying 3.9
- help scrolling 3.6
- Hermann-Mauguin symbol 37.13
- HirschLength 63.6
- homomorphisms by images, group 7.112
- homomorphisms conjugation, group 7.110
- homomorphisms Frobenius, field 18.11
- homomorphisms inner, group 7.111
- homomorphisms natural, group 7.109
- homomorphisms of algebras 38.24
- homomorphisms of fields 6.13
- homomorphisms of groups 7.105
- homomorphisms of monoids 68.26
- homomorphisms operation, group 8.19
- HP-UX 55.2
- HT 67.143
- ideal decomposition 16.18
- IdGroup 37.14
- IdWord 22.0
- if 2.14
- if statement 2.14
- Image for blocks homomorphisms 21.23
- Image for field homomorphisms 6.16
- Image for Frobenius automorphisms 18.11
- Image for group homomorphisms 7.108
- Image for GroupHomomorphismByImages 7.112
- Image for GroupHomomorphismByImages for permutation groups 21.23
- Image for OperationHomomorphism 8.19
- Image for transitive constituent homomorphisms 21.23
- image of set under relation 69.8
- image under relation 69.8
- image under transformation 70.5
- Images for field homomorphisms 6.16
- Images for group homomorphisms 7.108
- ImagesRepresentative for GroupHomomorphismByImages 7.112
- ImfInvariants 37.12
- ImfMatGroup 37.12
- ImfNumberQClasses 37.12
- ImfNumberQZClasses 37.12
- ImfNumberZClasses 37.12
- in for ag groups 25.5
- in for algebraic Elements 16.5
- in for Conjugacy Classes 7.71
- in for conjugacy classes of subgroups 7.77
- in for D class of transformations 71.13
- in for domains 4.8
- in for finite fields 18.12
- in for finitely presented groups 23.2
- in for gaussians 14.5
- in for Green classes 68.22
- in for H class of transformations 71.10
- in for L class of transformations 71.12
- in for matrix groups 36.1
- in for R class of transformations 71.11
- in for records 45.6
- in for Transformation Monoids 71.7
- Incidence 101.6
- IncludeIrreducibles 48.13
- Index for finitely presented groups 23.3
- Induced for character tables 48.8
- InfoLattice1 7.74
- initialize classlengths 48.27
- installation 55.0
- installation under MS-DOS 55.7
- installation under TOS 55.15
- installation under UNIX 55.3
- installation under Windows 55.7
- integer part of a quotient 10.3
- IntegralizedMat 50.4
- Intersection for MeatAxe Modules 62.18
- Intersection for ag groups 25.5
- Intersection for double cosets 7.95
- Intersection for finite fields 18.12
- Intersection for finitely presented groups 23.2
- Intersection for groups 7.113
- Intersection for matrix groups 36.1
- Intersection for Permutation Groups 21.20
- Intersection for right cosets 7.87
- intersection of boolean lists 29.7 29.10
- intersection of domains 4.12
- intersection of sets 28.7 28.9
- Intersection of vector spaces 9.4
- InvDCT 67.134
- InvDCT\_I 67.138
- InvDCT\_IV 67.136
- InvDFT 67.130
- InvDHT 67.132
- inverse of relation 69.8
- inverse of transformation 70.5
- InverseMapping for GroupHomomorphismByImages 7.112
- InverseMatMod 50.4
- InvHT 67.144
- InvRHT 67.146
- InvST 67.142
- InvWHT 67.140
- irrationalities 13.0
- irreducible maximal finite integral matrix groups 37.12
- IrreducibleSolvableGroup 37.10
- IsAbelian for character tables 48.8
- IsAbsolutelyIrreducible for MeatAxe Modules 62.20
- IsAssociated for gaussians 14.7
- IsCoset 7.86
- IsCyclic for ag groups 25.9
- IsCyclic for character tables 48.8
- IsDiagonal 61.52
- IsEquivalent for MeatAxe Modules 62.20
- IsExtensionField 61.23
- IsFinite for ag groups 25.9
- IsFinite for double cosets 7.95
- IsFinite for right cosets 7.87
- IsFinite for vector spaces 9.4
- IsFpAlgebraElement 39.9
- IsGeneric 61.23
- IsGenericNearlySimple 61.23
- IsHomomorphism for fields 6.14
- IsHomomorphism for groups 7.106
- IsInjective for field homomorphisms 6.16
- IsInjective for group homomorphisms 7.108
- IsIrreducible for MeatAxe Modules 62.20
- IsIrreducible for gaussians 14.7
- IsMapping for GroupHomomorphismByImages 7.112
- IsMapping for GroupHomomorphismByImages for permutation groups 21.23
- IsMeatAxeMat 62.4
- IsMeatAxePerm 62.9
- IsMonomial for characters 54.11
- IsMonomial for group orders 54.11
- IsMonomial for groups 54.11
- IsNilpotent for ag group 25.9
- IsNilpotent for character tables 48.8
- IsNormal for ag groups 25.9
- isoclinic table 48.20
- IsomorphismType 76.5
- IsPerfect for ag group 25.9
- IsPrime for gaussians 14.7
- IsQuasiPrimitive 54.6
- IsScalar 61.52
- IsSemiRegular for Permutation Groups 21.22
- IsSimple for character tables 48.8
- IsSolvable for character tables 48.8
- IsSolvable for Permutation Groups 21.21
- IsSubgroup for ag groups 25.9
- IsSubnormallyMonomial 54.9
- IsSubset for ag groups 25.5
- IsSubset for groups 7.113
- IsSubset for sets 28.9
- IsSupersolvable for character tables 48.8
- IsSurjective for field homomorphisms 6.16
- IsSurjective for group homomorphisms 7.108
- IsTrivial for groups 7.64
- IsUnit for gaussians 14.7
- IsUnit for matrix rings 35.2
- IsWyckoffPosition 58.17
- iterate a function over a list 27.41
- Kernel for class functions 53.4
- Kernel for blocks homomorphisms 21.23
- Kernel for fields 6.15
- Kernel for groups 7.107
- Kernel for OperationHomomorphism 8.19
- Kronecker product 48.17
- KroneckerFactors 61.12
- KroneckerProduct for MeatAxe matrices 62.7
- KroneckerProduct for MeatAxe Modules 62.20
- larger prime 10.18
- LargestPrimeOrderElement 61.52
- LargestPrimePowerOrderElement 61.52
- last 3.1
- lattice base reduction 50.33 50.34 50.35
- Lattice for MeatAxe Modules 62.20
- LClasses of a D class of transformations 71.13
- LcmPartitions 101.2
- LeftNormedComm for group elements 7.3
- LeftQuotient for group elements 7.3
- LeftQuotient for words 22.4
- length of a list 27.5
- length of a string 30.6
- length of a word 22.6
- LenstraBase 15.10
- libraries of character tables 52.1
- library of character tables 52.3 52.4 52.5
- library tables 48.11 52.0
- library tables add 52.7
- library tables generic 49.0
- LinearCombination in vector space 9.9
- LinearExtension 101.7
- LinearIndependentColumns 50.4
- list of primes 10.15
- ListERegulars 65.55
- lists boolean 29.0
- Lists positionsublist 95.1
- Lists sublist 95.2
- LLL algorithm for characters 50.35
- LLL algorithm for Gram matrices 50.34
- LLL algorithm for vectors 50.33
- load a file 3.12
- load a library file 3.13
- local 2.18
- log input to a file 3.18
- log to a file 3.17
- logarithm of an integer 10.10
- logarithm of a finite field element, discrete 18.9
- logical 44.0
- logical operations 44.2
- loop for 2.17
- loop read eval print 3.1
- loop repeat 2.16
- loop while 2.15
- LowerCentralSeries for ag groups 25.9
- LowerCentralSeries for character tables 48.8
- Macintosh 55.9
- MacOS 55.9
- map 27.2
- map composition 51.2
- map indeterminateness 51.10
- map indirection by a 51.29
- map inverse of a 51.3
- map parametrize 51.5
- map parametrized 51.1
- maps 51.0
- MatGroupZClass 37.13
- MathieuGroup 37.1
- Matrices block decomposition of 97.2
- Matrices block decomposition of square 97.1
- Matrices direct sum of 97.3
- matrix 34.0
- matrix automorphisms 51.26 51.28
- Matrix Representations of Finite Polycyclic Groups 48.25
- MaximalNormalSubgroups for character tables 48.8
- MaximalSubgroupsRepresentatives for CrystGroups 58.13
- maximum of a list 27.39
- maximum of integers 27.39
- membership test for ag groups 25.5
- membership test for algebraic extensions 16.5
- membership test for D class of transformations 71.13
- membership test for domains 4.8
- membership test for finite fields 18.12
- membership test for gaussians 14.5
- membership test for Green classes 68.22
- membership test for H class of transformations 71.10
- membership test for L class of transformations 71.12
- membership test for R class of transformations 71.11
- membership test for records 45.6
- membership test for Transformation Monoids 71.7
- membershiptest for groups 7.116
- mersenne primes 10.22
- minimal polynom of a field element 6.8
- minimum of a list 27.40
- minimum of integers 27.40
- MOC interface to 48.48 48.49 48.50 48.51 48.52 48.53
- mod for character tables 48.9
- Modified Todd-Coxeter 23.11
- modular roots 11.10
- Module for MeatAxe Matrix Algebras 62.16
- ModuleAction 63.7
- Moebius inversion function 10.24
- monoid of all binary relations 69.0
- Monomial Representations of Finite Polycyclic Groups 48.25
- MS-DOS features 55.8
- MS-DOS installation 55.7
- MS-DOS options 55.8
- MSDOS 55.5
- multiplicative order of an integer 11.4
- multiply the elements of a list 27.36
- multisets 28.0
- Murnaghan components 50.17 50.18
- NaturalModule for MeatAxe Matrix Algebras 62.16
- newline 2.3
- NF 15.3
- NilpotentQuotient 56.10
- NK 13.12
- NoMessageScalarProduct for character tables 48.8
- Norm for class functions 53.4
- Norm for algebraic extensions 16.10
- Norm for finite fields 18.13
- Norm for gaussians 14.6
- norm of a field element 6.10
- normal subgroup table of 48.16
- NormalClosure for character tables 48.8
- NormalIntersection for ag groups 25.9
- NormalizedAutomorphisms 64.4
- NormalizedOuterAutomorphisms 64.4
- Normalizer for ag groups 25.9
- Normalizer for finitely presented groups 23.3
- Normalizer for matrix groups 36.2
- Normalizer for Permutation Groups 21.21
- normalizer in GL(d,Z) 58.23
- normalizer in affine group 58.27
- normalizer in translation group 58.26
- NormalizerZClass 37.13
- NormalSubgroups for character tables 48.8
- not 44.2
- NotifyCharTable 52.7
- NrCombinations 46.6
- NrCrystalFamilies 37.13
- NrCrystalSystems 37.13
- NrDadeGroups 37.13
- NrDerangements 46.11
- NrOrderedPartitions 46.14
- NrPartitions 46.13
- NrPartitionsSet 46.12
- NrPermutationsList 46.10
- NrQClassesCrystalSystem 37.13
- NrRestrictedPartitions 46.15
- NrSpaceGroupTypesZClass 37.13
- NrTuples 46.9
- NrUnorderedTuples 46.8
- NrZClassesQClass 37.13
- number fields Galois group 15.8
- number Bell 46.3
- number binomial 46.2
- number of divisors of an integer 10.23
- number of elements in a list 27.24
- number Stirling, of the first kind 46.4
- number Stirling, of the second kind 46.5
- NumberPerfectGroups 37.11
- NumberPerfectLibraryGroups 37.11
- NumberSmallGroups 37.14
- numerator of a rational 12.2
- od 2.17
- Omega for characters 53.4
- OneIrreducibleSolvableGroup 37.10
- OnePrimitiveGroup 37.5
- OneSolvableGroup 37.7
- OneThreeGroup 37.9
- OneTwoGroup 37.8
- OnLClasses 72.1
- OnLeft 8.1 72.1
- OnLeftAntiOperation 8.1
- OnLeftCosets 8.1
- OnLeftInverse 8.1
- OnLines 8.1
- OnPairs 8.1 72.1
- OnPoints 8.1 72.1
- OnRClassesAntiAction 72.1
- OnRight 8.1 72.1
- OnRightCosets 8.1
- OnSets 8.1 72.1
- OnTuples 8.1 72.1
- Operation for MeatAxe Matrix Groups 62.14
- OperationHomomorphism for Modules 41.17
- OperationHomomorphism for blocks 21.23
- OperationHomomorphism for transitive constituents 21.23
- OperationModule 41.17
- Operations for algebraic elements 16.4
- operations record 4.2
- operations for booleans 44.2
- operations for groups 7.116
- operations for integers 10.2
- operations for lists 27.13
- operations for polynomials 19.6
- operations for rationals 12.5
- operations for vectors 32.1
- operators for cyclotomics 13.9 13.10
- options 55.0
- options under MS-DOS 55.8
- options under TOS 55.16
- options under UNIX 55.4
- or 44.2
- Orbit for ag groups 25.9
- OrbitMat 61.45
- Order for MeatAxe matrices 62.7
- Order for MeatAxe Permutations 62.12
- Order for finitely presented groups 23.3
- order of a finite field element 18.7
- order of a group element 7.5
- order of the prime residue group 11.2
- ordering of ag words 24.2
- ordering of algebra elements 38.26
- ordering of amats 67.43
- ordering of areps 67.85
- ordering of gaussians 14.1
- ordering of group elements 7.2
- ordering of group homomorphisms 7.108
- ordering of monoid elements 68.1
- ordering of mons 67.3
- ordering of records 45.4
- ordering of relations 69.7
- ordering of transformations 70.4
- OrthogonalEmbeddingsSpecialDimension 50.36
- OuterAutomorphisms 64.4
- output suppressing 3.1
- p-regular table 48.19
- PadicCoefficients 50.4
- PAG system 24.1
- paramap 51.1
- parametrized maps 51.0
- part of a string 30.3
- partial transformation 71.4
- partitions 46.0
- partitions improper, of an integer 46.14
- partitions of a set 46.12
- partitions of an integer 46.13
- partitions ordered, of an integer 46.14
- partitions restricted, of an integer 46.15
- perfect groups 37.11
- PerfectGroup 37.11
- PermGroup for Imf matrix groups 37.12
- PermGroup for matrix groups 36.2
- PermGroup for perfect groups 37.11
- PermGroupImfGroup 37.12
- permutation character 51.19
- permutation characters 50.31
- permutation characters candidates for 50.26 50.27
- permutation characters faithful candidates for 50.32
- PermutationCharacter 21.21
- permutations fixpointfree 46.11
- permutations list 46.10
- PointGroup for color CrystGroups 58.39
- PointGroup of a CrystGroup 58.6
- PolyhedralGroup 37.1
- Poset 101.4
- Poset Restricted 101.10
- PositionClass 77.3
- power of algebra elements 38.26
- power of gaussians 14.2
- power of group elements 7.3
- power of monoid elements 68.2
- power of records 45.5
- power of relation 69.8
- power of transformation 70.5
- power of words 22.4
- powermaps 51.12 51.14 51.15 51.16 51.17 51.23 51.26 51.28
- powerset 46.6
- precedence 2.10
- PreImage for blocks homomorphisms 21.23
- PreImage for field homomorphisms 6.16
- PreImage for group homomorphisms 7.108
- PreImage for OperationHomomorphism 8.19
- PreImages for field homomorphisms 6.16
- PreImages for group homomorphisms 7.108
- PreImages for transitive constituent homomorphisms 21.23
- PresentationFpGroup 23.8
- PresentationNormalClosure 23.11
- PresentationNormalClosureRrs 23.11
- PresentationSubgroup 23.11
- PresentationSubgroupMtc 23.11
- PresentationSubgroupRrs 23.11
- PresentationViaCosetTable 23.10
- previous result 3.1
- primary subgroup generators 23.11 23.11 23.14
- prime residue group 11.0 11.1
- prime residue group exponent 11.3
- prime residue group generator 11.5 11.6
- prime residue group order 11.2
- primes mersenne 10.22
- primitive element 16.3
- primitive root modulo an integer 11.6
- PrimitiveGroup 37.5
- Print for character tables 48.8
- Print for double cosets 7.95
- Print for right cosets 7.87
- print to a file 3.15
- PrintClassSubgroupLattice 7.74 7.74
- PrintDiagram 77.3
- PrintLevelFlag 61.37
- PrintToLib 52.7
- product for double cosets 7.95
- product for right cosets 7.87
- product of a group and a group element 7.116
- product of algebra elements 38.26
- product of gaussians 14.2
- product of group elements 7.3
- product of list and algebra element 38.26
- product of list and group element 7.3 22.4
- product of list and monoid element 68.2
- product of list and relation 69.8
- product of list and transformation 70.5
- product of monoid elements 68.2
- product of permutation and relation 69.8
- product of permutation and transformation 70.5
- product of records 45.5
- product of relations 69.8
- product of transformation and relation 69.8
- product of transformations 70.5
- product of words 22.4
- Projection for subdirect products 7.102
- Projection onto component of direct products 7.98
- Projection onto component of semidirect products 7.100
- ProjectiveOrderMat 61.47
- prompt 3.1
- prompt partial 3.1
- quadratic irrationalities 13.14
- quadratic number fields 13.14
- quadratic residue 11.7 11.8 11.9
- quotient of gaussians 14.2
- quotient of group elements 7.3
- quotient of groups 7.116
- quotient of list and group element 7.3
- quotient of list and word 22.4
- quotient of records 45.5
- quotient of transformations 70.11
- quotient of words 22.4
- QuotientGModule 61.24
- QuotientRemainder for gaussians 14.7
- QuotientRemainder for polynomials 19.18
- random element of a domain 4.16
- Random Methods for Permutation Groups 21.24
- Random for ag groups 25.9
- Random for algebraic Extensions 16.5
- Random for Conjugacy Classes 7.71
- Random for double cosets 7.95
- Random for finite fields 18.12
- Random for gaussians 14.5
- Random for matrix groups 36.1
- Random for Permutation Groups 21.20
- Random for right cosets 7.87
- RandomIrreducibleSubGModule 61.24
- RandomOrders for MeatAxe Matrix Algebras 62.16
- RandomOrders for MeatAxe Matrix Groups 62.14
- RandomSeed 27.42
- Rank for MeatAxe matrices 62.7
- rational characters 13.16
- RClasses of a D class of transformations 71.13
- read eval print loop 3.1
- read a file 3.12
- read a library file 3.13
- record fields for algebraic extension fields 16.11
- record fields for extension elements 16.12
- record operations 4.2
- recursion 2.18
- recursive functions 2.18
- Reduced Reidemeister-Schreier 23.11
- ReducedInRightCoset 80.2
- Reflection Groups name of 76.4
- regular classes 48.19
- relation 69.0
- remainder of a quotient 10.4
- remove an element from a set 28.5
- RemoveRelator 23.9
- repeat 2.16
- repeat loop 2.16
- representation as a sum of two squares 14.8
- representative of a domain 4.15
- RepresentativeOperation for matrix groups 36.2
- RepresentativeOperation for Permutation Groups 21.22
- residue quadratic 11.7 11.8 11.9
- Restricted for character tables 48.8
- return 2.19
- reverse the elements of a list 27.21
- RHT 67.145
- RightCoset for ag groups 25.9
- RightCosetGroupOps 7.87
- RightNormedComm for group elements 7.3
- ring for cyclotomic integers 15.6
- root of 1 modulo an integer 11.10
- root of an integer 10.11
- root of an integer modulo another 11.9
- root of an integer, smallest 10.12
- roots of unity 13.1
- Save for presentation records 23.8
- ScalarProduct for character tables 48.8
- scalars 32.0
- Schreier-Sims Random 21.24
- SchurElements 83.2
- scope 2.7
- secondary subgroup generators 23.11 23.11 23.14
- selections 46.0
- SemidirectProduct for groups 7.101
- sequence bernoulli 46.22
- sequence fibonacci 46.20
- sequence lucas 46.21
- set difference of domains 4.14
- SetPrintLevel 7.74 7.74
- SetPrintLevelFlag 61.37
- short vectors spanning a lattice 50.33 50.35
- sign of an integer 10.8
- SimplifyPresentation 23.13
- Size for MeatAxe Modules 62.18
- Size for ag groups 25.5
- Size for character tables 48.8
- Size for Conjugacy Classes 7.71
- Size for conjugacy classes of subgroups 7.77
- Size for double cosets 7.95
- Size for finitely presented groups 23.2
- Size for matrix groups 36.1
- Size for Permutation Groups 21.20
- Size for right cosets 7.87
- Size for Transformation Monoids 71.7
- Size of a D class of transformations 71.13
- size of a domain 4.10
- Size of a Green class 68.22
- Size of an H class of transformations 71.10
- Size of an L class of transformations 71.12
- Size of an R class of transformations 71.11
- Size of vector spaces 9.4
- SizeNumbersPerfectGroups 37.11
- SizesConjugacyClasses for character tables 48.8
- smaller prime 10.19
- SmallGroup 37.14
- SmallGroups 37.14
- SolvableGroup 37.7
- sort a list 27.30
- space 2.3
- SpaceGroup 37.13
- SpechtDirectory 65.3 65.14
- special character sequences 30.0
- Specialization 83.8
- SpecialLinearGroup 37.1
- SpecialUnitaryGroup 37.1
- split classes 48.21
- SplitCharacters 48.13
- SplittingField for MeatAxe Modules 62.20
- Sq 56.4
- square root of an integer 10.11
- ST 67.141
- StabChainOptions 21.24
- Stabilizer for ag groups 25.9
- Stabilizer for matrix groups 36.2
- Stabilizer for Permutation Groups 21.22
- StandardAssociate for gaussians 14.7
- StandardAssociate for polynomials 19.18 19.19
- Stirling number of the first kind 46.4
- Stirling number of the second kind 46.5
- structure constant 48.30 48.31 48.32
- SubGModule 61.24
- subgroup and permutation character 50.28
- subgroup fusions 48.45 48.46 51.13 51.18 51.19 51.20 51.21 51.22 51.24 51.25 51.27
- subgroup generators tree 23.14
- Subgroup for color groups 58.38
- subgroups polyhedral 48.36
- subset test for domains 4.11
- subsets 29.0 46.6
- substring of a string 30.3
- subtract a boolean list from another 29.11
- subtract a set from another 28.8
- sum of algebra elements 38.26
- sum of divisors of an integer 10.22
- sum of gaussians 14.2
- sum of list and algebra element 38.26
- sum of records 45.5
- SumIntersectionSpaces for MeatAxe matrices 62.7
- SunOS 55.2
- SupersolvableResiduum for character tables 48.8
- SylowSubgroup for ag groups 25.9
- SylowSubgroup for matrix groups 36.2
- SylowSubgroup for Permutation Groups 21.21
- symmetric group powermap 46.18
- SymmetricGroup 37.1
- symmetrizations orthogonal 50.17
- symmetrizations symplectic 50.18
- SymplecticGroup 37.1
- syntax errors 3.1
- System V 55.2
- SysV 55.2
- table automorphisms 51.22 51.25 51.27
- table of factor group 48.15
- table of normal subgroup 48.16
- TableOfMarks 47.4
- tables 48.0 48.11 52.0
- tables add to a library 52.7
- tables format 48.2 48.3
- tables generic 49.0 49.2 49.3
- tables libraries of 52.1
- tables library 52.3 52.4 52.5
- tables sort 48.38 48.39 48.40
- tabulator 2.3
- tensor product 48.17
- test for a boolean 44.3
- test for a cyclotomic 13.5
- test for a cyclotomic field 15.2
- test for a cyclotomic integer 13.6
- test for a finite field element 18.4
- test for a list 27.1
- test for a mon 67.6
- test for a power of a prime 10.17
- test for a prime 10.16
- test for a primitive root 11.5
- test for a range 31.1
- test for a rational 12.1
- test for a set 28.1
- test for a string 30.5
- test for a vector 32.2
- test for algebra element 38.26
- test for algebraic element 16.13
- test for algebraic extension 16.2
- test for an amat 67.26
- test for an integer 10.5
- test for antisymmetric 69.15
- test for D class 68.17
- test for equivalence 69.18
- test for gaussian integer 14.4
- test for gaussian rational 14.3
- test for group element 7.4
- test for H class 68.20
- test for L Class 68.14
- test for list elements 45.9
- test for membership 27.14
- test for monoid 68.7
- test for monoid element 68.3
- test for normal extension 16.6
- test for number field 15.1
- test for partial order 69.17
- test for preorder 69.16
- test for R class 68.11
- test for record elements 45.9
- test for records 45.8
- test for reflexive 69.9
- test for relation 69.3
- test for semigroup 68.5
- test for set equality 28.3
- test for subsets 28.9
- test for symmetric 69.11
- test for transformation 70.6
- test for transformation monoid 71.1
- test for transitive 69.13
- TeX DecompositionMatrix 65.3
- then 2.14
- ThreeGroup 37.9
- Tietze options 23.13
- Tietze record 23.8
- Tietze word 23.8
- TietzeWordAbstractWord 23.8
- TOS 55.13
- TOS features 55.16
- TOS installation 55.15
- TOS options 55.16
- total length of a presentation 23.13
- Trace for MeatAxe matrices 62.7
- Trace for algebraic extensions 16.10
- Trace for gaussians 14.6
- trace of a field element 6.11
- TransitiveClosure 101.1
- TransitiveGroup 37.6
- TransitiveIdentification 37.6
- TranslationsCrystGroup add translations 58.8
- TranslationsCrystGroup check translations 58.9
- Transposed for MeatAxe matrices 62.7
- TransposedSpaceGroup 37.13
- tree decoding 23.14
- TwoGroup 37.8
- type algebraic elements 16.4
- type boolean 44.0
- type cyclotomic 13.0
- type gaussian integers 14.0
- type gaussian rationals 14.0
- type integer 10.0
- type list 27.0
- type matrices 34.0
- type rationals 12.0
- type records 45.0
- type strings 30.0
- type words 22.0
- TzEliminate 23.13
- TzFindCyclicJoins 23.13
- TzGo 23.13
- TzGoGo 23.13
- TzInitGeneratorImages 23.13
- TzPrint 23.8
- TzPrintGeneratorImages 23.13
- TzPrintGenerators 23.8
- TzPrintLengths 23.13
- TzPrintOptions 23.13
- TzPrintPairs 23.13
- TzPrintPresentation 23.8
- TzPrintRelators 23.8
- TzPrintStatus 23.8
- TzSearch 23.13
- TzSearchEqual 23.13
- TzSubstitute 23.13 23.13
- TzSubstituteCyclicJoins 23.13
- ULTRIX 55.2
- union of boolean lists 29.6 29.9
- union of domains 4.13
- union of sets 28.6 28.9
- Units for gaussians 14.7
- UNIX features 55.4
- UNIX installation 55.3
- UNIX options 55.4
- UnloadSmallGroups 37.14
- until 2.16
- UpperCentralSeries for character tables 48.8
- ValueMolienSeries 50.9
- VEInput 66.2
- VEOutput 66.2
- WedgeGModule 61.42
- while 2.15
- while loop 2.15
- WHT 67.139
- Windows 55.5
- Windows installation 55.7
- words 22.0
- wreath product character table 48.18
- WreathProduct for ag groups 25.9
- WyckoffBasis 58.17
- WyckoffPosClass 58.17
- WyckoffSpaceGroup 58.17
- WyckoffStabilizer 58.17
- WyckoffTranslation 58.17
- X 19.2
- Z 18.1
- ZClassRepsDadeGroup 37.13
Up
GAP 3.4.4
April 1997