The GAP 4 Manual - Full Index A

_ 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

A, Attribute mark-up E 2.5

A First Attempt to Implement Elements of Residue Class Rings P 5.1

A First Session with GAP T 2.0

A Second Attempt to Implement Elements of Residue Class Rings P 5.3

Abelian Invariants for Subgroups R 45.14

abelian number field R 58.2

abelian number fields, Galois group R 58.3

Abelian Number Fields R 58.0

AbelianGroup R 48.1.3

AbelianInvariants, for character tables R 69.8

AbelianInvariants, for groups R 37.15.1

AbelianInvariantsMultiplier R 37.23.3

AbelianInvariantsNormalClosureFpGroup R 45.14.4

AbelianInvariantsNormalClosureFpGroupRrs R 45.14.5

AbelianInvariantsSubgroupFpGroup R 45.14.1

AbelianInvariantsSubgroupFpGroupMtc R 45.14.2

AbelianInvariantsSubgroupFpGroupRrs R 45.14.3

AbelianNumberField R 58.0

AbelianSubfactorAction R 39.7.3

About Functions T 2.6

About Group Actions R 39.1

About Programming in GAP P 1.0

About the GAP Reference Manual R 1.0

About the New Features Manual N 1.0

About: Extending GAP E 1.0

AbsInt R 14.1.6

absolute value of an integer R 14.1

AbsoluteValue R 18.1.6

abstract word R 34.1

AbstractWordTietzeWord R 46.4.2

accessing, record elements R 27.1

accessing, list elements R 21.3

Accessing a Module R 67.3

Accessing Record Elements R 27.1

Accessing Subgroups via Tables of Marks R 68.11

Accessing Weak Pointer Objects as Lists E 7.4

Acknowledgement T 10.0

Acknowledgements T 1.3

AClosestVectorCombinationsMatFFEVecFFE R 23.5.5

Acting OnRight and OnLeft R 42.6

ActingAlgebra R 60.10.13

ActingDomain R 39.11.3

action, on blocks R 39.2

action, on sets R 39.2

Action R 39.6.2

action, by conjugation R 39.2

Action of a group on itself R 39.7

Action on Subfactors Defined by a Pcgs R 43.14

ActionHomomorphism R 39.6.1

actions R 39.2

Actions of Groups T 5.2

Actions of Matrix Groups R 42.2

ActorOfExternalSet R 39.11.15

add, an element to a set R 21.19

Add R 21.4.4

AddCoeffs R 23.3.2

AddGenerator R 46.6.1

AddGenerators R 36.1.13

AddGeneratorsExtendSchreierTree R 41.10.10

AddHashEntry N 2.3.4

Adding a new Attribute P 4.5

Adding a new Operation P 4.4

Adding a new Representation P 4.6

Adding new Concepts P 4.8

addition R 4.12.1

addition, matrices R 24.2.1

addition, matrix and scalar R 24.2.2

addition, operation R 30.12.1

addition, rational functions R 64.2.1

addition, scalar and matrix R 24.2.2

addition, scalar and matrix list R 24.2.12

addition, scalar and vector R 23.1.2

addition, vector and scalar R 23.1.2

addition, vectors R 23.1.1

addition, list and non-list R 21.13

Addition of a Method P 4.1

Additive Arithmetic for Lists R 21.13

Additive Magmas R 53.0

AdditiveInverse R 30.10.9

AdditiveInverseAttr R 30.10.9

AdditiveInverseImmutable R 30.10.9

AdditiveInverseMutable R 30.10.9

AdditiveInverseOp R 30.10.9

AdditiveInverseSameMutability R 30.10.9

AdditiveInverseSM R 30.10.9

AdditiveNeutralElement R 53.3.5

AddRelator R 46.6.3

AddRowVector R 23.3.1

AddRule R 36.1.9

AddRuleReduced R 36.1.10

AddSet R 21.19.4

AdjointAssociativeAlgebra R 61.9.2

AdjointBasis R 60.8.5

AdjointMatrix R 61.9.1

AdjointModule R 60.10.19

administrator R 74.2

Advanced Features of GAP R 3.2

Advanced List Manipulations R 21.21

Advanced Methods for Dixon-Schneider Calculations R 69.14

AffineAction R 43.14.4

AffineActionLayer R 43.14.5

AffineOperation R 43.14.4

AffineOperationLayer R 43.14.5

Agemo R 37.13.2

AgGroup T 9.4

Algebra R 60.1.1

AlgebraByStructureConstants R 60.3.5

AlgebraGeneralMappingByImages R 60.9.1

AlgebraHomomorphismByImages R 60.9.2

AlgebraHomomorphismByImagesNC R 60.9.3

Algebraic extensions of fields R 65.0

Algebraic Structure T 7.2

AlgebraicExtension R 65.1.1

Algebras T 6.2

Algebras R 60.0

AlgebraWithOne R 60.1.2

AlgebraWithOneGeneralMappingByImages R 60.9.4

AlgebraWithOneHomomorphismByImages R 60.9.5

AlgebraWithOneHomomorphismByImagesNC R 60.9.6

AllBlocks R 39.10.4

AllIrreducibleSolvableGroups R 48.10.3

AllLibraryGroups R 48.5.1

ALLPKG R 74.3

ALLPKG E 4.2

AllPrimitiveGroups R 48.5

AllSmallGroups R 48.7.2

AllTransitiveGroups R 48.5

Alpha R 72.1.1

AlternatingGroup R 48.1.7

An Example -- Designing Arithmetic Operations P 6.0

An Example -- Residue Class Rings P 5.0

An Example of a GAP Package E 4.3

An Example of Advanced Dixon-Schneider Calculations R 69.16

and R 20.3.2

and, for filters R 13.2 R 20.3.3

ANFAutomorphism R 58.3.1

antisymmetric relation R 32.2

AntiSymmetricParts R 70.11.3

Append R 21.4.5

AppendTo, for streams R 10.4.4

AppendTo R 9.7.4

Apple R 73.12

Applicable Methods and Method Selection P 2.3

ApplicableMethod T 8.4

ApplicableMethod R 7.2 R 7.2.1

ApplicableMethodTypes R 7.2.1

Apply R 21.20.9

ApplyFunc T 9.4

ApplySimpleReflection R 61.7.18

ApproximateSuborbitsStabilizerPermGroup R 41.9.14

ARCH_IS_MAC R 73.15.2

ARCH_IS_UNIX R 73.15.1

ARCH_IS_WINDOWS R 73.15.3

arg, special function argument R 4.10 R 4.22

Arithmetic for External Representations of Polynomials R 64.21

Arithmetic for Lists R 21.11

Arithmetic Issues in the Implementation of New Kinds of Lists P 3.12

Arithmetic Operations for Class Functions R 70.4

Arithmetic Operations for Elements R 30.12

Arithmetic Operations for General Mappings R 31.5

Arithmetic Operators R 4.12

ArithmeticElementCreator P 4.12.1

Arrangements R 17.2.3

arrow notation for functions R 4.22.2

AsAlgebra R 60.8.7

AsAlgebraWithOne R 60.8.8

AsBinaryRelationOnPoints R 32.3.3

AsBlockMatrix R 24.14.1

AscendingChain R 37.16.16

AsDivisionRing R 56.1.9

AsDuplicateFreeList R 21.20.5

AsField R 56.1.9

AsFreeLeftModule R 55.3.3

AsGroup R 37.2.4

AsGroupGeneralMappingByImages R 38.1.5

AsLeftIdeal R 54.2.11

AsLeftModule R 55.1.5

AsList R 28.2.6

AsMagma R 33.2.10

AsMonoid R 50.0

AsPolynomial R 64.4.5

AsRightIdeal R 54.2.11

AsRing R 54.1.7

AsSemigroup R 49.0

Assert R 7.5.3

AssertionLevel R 7.5.2

Assertions R 7.5

AsSet R 28.2.8

AssignGeneratorVariables R 35.2.5

assignment, variable R 4.14.1

assignment T 2.4

assignment, to a list R 21.4

assignment, to a record R 27.2

Assignments R 4.14

AssignNiceMonomorphismAutomorphismGroup R 38.8.1

AssociatedPartition R 17.2.24

AssociatedReesMatrixSemigroupOfDClass R 49.6.10

Associates R 54.5.4

Associative Words R 35.0

associativity R 4.12

AssocWordByLetterRep R 35.6.9

AsSomething T 7.6

AsSortedList R 28.2.7

AsSSortedList R 28.2.8

AsStruct R 30.4.1

AsSubalgebra R 60.8.9

AsSubalgebraWithOne R 60.8.10

AsSubgroup R 37.3.4

AsSubgroupOfWholeGroupByQuotient R 45.12.3

AsSubmagma R 33.2.11

AsSubmonoid R 50.0

AsSubsemigroup R 49.0

AsSubspace R 59.1.4

AsSubstruct R 30.8.3

AsTransformation R 52.0 R 52.0

AsTransformationNC R 52.0

AsTwoSidedIdeal R 54.2.11

AsVectorSpace R 59.1.3

at exit functions R 6.7

ATLAS Irrationalities R 18.4

AtlasIrrationality R 18.4.6

atomic irrationalities R 18.4

Attributes R 13.5

Attributes T 8.1

Attributes and Operations for Algebras R 60.8

Attributes and Properties for (Near-)Additive Magmas R 53.3

Attributes and Properties for Collections R 28.3

Attributes and Properties for Magmas R 33.4

Attributes and Properties for Matrix Groups R 42.1

Attributes and Properties of Character Tables R 69.8

Attributes and Properties of Elements R 30.10

Attributes of and Operations on Equivalence Relations R 32.6

Attributes of Tables of Marks R 68.7

Attributes vs. Record Components T 9.8

AttributeValueNotSet R 13.6.3

AugmentationIdeal R 63.1.7

Augmented Coset Tables and Rewriting R 45.8

AugmentedCosetTableInWholeGroup R 45.8.1

AugmentedCosetTableMtc R 45.8.2

AugmentedCosetTableRrs R 45.8.3

Authors T 10.0

Authorship and Maintenance T 1.2

AUTOLOAD_PACKAGES R 74.3

automatic loading of GAP packages R 74.3

automorphism group, of number fields R 58.3

AutomorphismDomain R 38.7.2

AutomorphismGroup R 38.7.3

AutomorphismGroup, for groups with pcgs R 43.16

Automorphisms and Equivalence of Character Tables R 69.19

AutomorphismsOfTable R 69.8.8

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