GAP (groupoids) - Index

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### Index

* for groupoid elements 4.2-1
`\^` 4.5-1
\^, for arrows 4.5
for groupoids 4.5-1
`Arrow` 2.1-3
`Arrow`, for groupoid elements 4.2-1
`AutomorphismGroup` 5.6-3
`AutomorphismGroupOfGroupoid` 5.6-3
`AutomorphismGroupoidOfGroupoid` 5.6-6
`ConjugateGroupoid` 4.5-2
4.4 4.2-4
`DigraphOfGraphOfGroupoids` 6.5-1
`DigraphOfGraphOfGroups` 6.2-1
`DirectProductOp` 4.1-6
`DiscreteSubgroupoid` 4.3-6
`DiscreteTrivialSubgroupoid` 4.3-5
`DomainWithSingleObject`, for groups 4.1-1
for semigroups 2.2-1
4.4
`DoubleCoset` 4.4-1
`DoubleCosetRepresentatives` 4.4-1
`DoubleCosets` 4.4-1
`ElementOfArrow`, for groupoids 4.2-1
for magmas with objects 2.1-3
`Embedding` 4.1-6 6.4-2
`FpWeightedDigraph` 6.1-1
`FreeProductWithAmalgamation` 6.4-1
`FreeProductWithAmalgamationInfo` 6.4-1
`FullTrivialSubgroupoid` 4.3-5
`GeneratorsOfMagmaWithObjects` 2.4-1
`GeneratorsOfMonoidWithObjects` 2.4-1
`GeneratorsOfSemigroupWithObjects` 2.4-1
`GraphOfGroupoids` 6.5-1
`GraphOfGroupoidsOfWord` 6.5-2
`GraphOfGroupoidsWord` 6.5-2
`GraphOfGroups` 6.2-1
`GraphOfGroupsOfWord` 6.3-1
`GraphOfGroupsRewritingSystem` 6.4-1
`GraphOfGroupsWord` 6.3-1
`Groupoid` 4.1-1
`GroupoidAutomorphismByGroupAuto` 5.6-1
`GroupoidAutomorphismByGroupAutos` 5.6-5
`GroupoidAutomorphismByObjectPerm` 5.6-1
`GroupoidAutomorphismByRayShifts` 5.6-1
`GroupoidByIsomorphisms` 4.6-1
`GroupoidElement` 4.2-1
`GroupoidHomomorphism` 5.1-1
`GroupoidHomomorphismFromHomogeneousDiscrete` 5.4-2
`GroupoidHomomorphismFromSinglePiece` 5.1-1
`GroupoidInnerAutomorphism` 5.6-1
`GroupoidsOfGraphOfGroupoids` 6.5-1
`GroupsOfGraphOfGroups` 6.2-1
`HeadOfArrow`, for groupoids 4.2-1
for magmas with objects 2.1-3
`HeadOfGraphOfGroupsWord` 6.3-1
`HnnExtension` 6.4-3
`HnnExtensionInfo` 6.4-3
`HomogeneousDiscreteGroupoid` 4.1-5
`HomogeneousGroupoid` 4.1-5
`HomomorphismByUnion`, for groupoids 5.5-1
for magmas with objects 3.3-1
`HomomorphismFromSinglePiece` 3.1-1
`HomomorphismToSinglePiece`, for groupoids 5.4-1
for magmas with objects 3.1-1
`Homset` 4.2-4
identity subgroupoid 4.3-5
`IdentityArrow` 4.2-2
`IdentityMapping` 5.4-1
`ImageElementsOfRays` 5.2-5
`ImagesOfObjects` 5.2-4
`InclusionMappingGroupoids` 5.3-1
inner automorphism 5.6-1
inner automorphism group 5.6-4
inverse arrow 4.2-2
`InvolutoryArcs` 6.1-1
`IsAutomorphismWithObjects` 3.3-2
, for groupoid homomorphisms 5.2-1
`IsBijectiveOnObjects` 3.3-2
, for groupoid homomorphisms 5.2-1
`IsDirectProductWithCompleteDigraph` 2.1-4
`IsDiscreteMagmaWithObjects` 2.1-4
`IsDomainWithObjects` 2.1-2
`IsEndomorphismWithObjects` 3.3-2
, for groupoid homomorphisms 5.2-1
`IsFpGroupoid` 4.1-3
`IsFpWeightedDigraph` 6.1-1
`IsFreeGroupoid` 4.1-3
`IsFreeProductWithAmalgamation` 6.4-1
`IsGraphOfFpGroupoids` 6.5-1
`IsGraphOfFpGroups` 6.2-2
`IsGraphOfGroupoidsWord` 6.5-2
`IsGraphOfGroupsWord` 6.3-1
`IsGraphOfPcGroups` 6.2-2
`IsGraphOfPermGroupoids` 6.5-1
`IsGraphOfPermGroups` 6.2-2
`IsGroupoidByIsomorphisms` 4.6-1
`IsGroupoidWithMonoidObjects` 4.7-2
`IsHnnExtension` 6.4-3
`IsHomogeneousDomainWithObjects` 4.1-5
`IsHomogeneousDiscreteGroupoidRep` 4.1-5
, for groupoid homomorphisms 5.2-1
`IsInjectiveOnObjects` 3.3-2
, for groupoid homomorphisms 5.2-1
`IsMagmaWithObjects` 2.1-2
`IsMappingToGroupWithGGRWS` 6.4-2
`IsMappingToSinglePieceRep` 3.1-1
`IsMappingWithObjectsByFunction` 3.4-1
`IsMatrixGroupoid` 4.1-3
`IsMultiplicativeElementWithObjects` 2.1-3
`IsomorphismGroupoids` 5.5-2
`IsomorphismNewObjects`, for groupoids 5.3-3
for magmas with objects 3.1-1
`IsomorphismPcGroupoid` 5.3-5
`IsomorphismPermGroupoid` 5.3-5
`IsomorphismsOfGraphOfGroupoids` 6.5-1
`IsomorphismsOfGraphOfGroups` 6.2-1
`IsomorphismStandardGroupoid` 5.3-4
`IsPcGroupoid` 4.1-3
`IsPermGroupoid` 4.1-3
`IsReducedGraphOfGroupoidsWord` 6.5-2
`IsReducedGraphOfGroupsWord` 6.3-2
`IsSinglePiece` 2.1-4
`IsSinglePieceDomain` 2.1-4
`IsSubgroupoid` 4.3-1
, for groupoid homomorphisms 5.2-1
`IsSurjectiveOnObjects` 3.3-2
, for groupoid homomorphisms 5.2-1
`IsWideSubgroupoid` 4.3-1
`LeftCoset` 4.4-1
`LeftCosetRepresentatives` 4.4-1
`LeftCosetRepresentativesFromObject` 4.4-1
`LeftCosets` 4.4-1
`LeftTransversalsOfGraphOfGroupoids` 6.5-1
`LeftTransversalsOfGraphOfGroups` 6.2-3
loop 4.2-3
`MagmaWithObjects` 2.1-1
`MagmaWithObjectsHomomorphism` 3.1-1
`MappingToSinglePieceData`, for groupoids 5.1-1
for magmas with objects 3.1-1
`MappingWithObjectsByFunction` 3.4-1
matrix representation 5.7
`MaximalDiscreteSubgroupoid` 4.3-6
`MonoidWithObjects` 2.3-1
`NiceObjectAutoGroupGroupoid` 5.6-3
`NormalFormGGRWS` 6.4-1
`ObjectCostar` 4.2-4
`ObjectGroup` 4.1-2
`ObjectGroupHomomorphism` 5.2-6
`ObjectList`, for groupoids 4.1-2
`ObjectList`, for groupoids 4.1-4
`ObjectList`, for magmas with objects 2.1-1
`ObjectStar` 4.2-4
`Order` 4.2-3
`ParentMappingGroupoids` 5.3-2
`PieceIsomorphisms` 4.1-5
`PieceOfObject` 2.5-1
`Pieces`, for groupoids 4.1-4
for magmas with objects 2.5-1
`PiecesOfMapping` 3.1-1
`Projection` 4.1-6
`Range` 3.1-1
`RayArrowsOfGroupoid` 4.3-2
4.
`RaysOfGroupoid` 4.3-2
`ReducedGraphOfGroupoidsWord` 6.5-2
`ReducedGraphOfGroupsWord` 6.3-2
`ReducedImageElm` 6.4-2
`RegularActionHomomorphismGroupoid` 5.3-5
`ReplaceOnePieceInUnion` 4.1-4
representation by matrices 5.7
`RestrictedMappingGroupoids` 5.3-2
`RightActionGroupoid` 4.7-2
`RightCoset` 4.4-1
`RightCosetRepresentatives` 4.4-1
`RightCosets` 4.4-1
`RightTransversalsOfGraphOfGroupoids` 6.5-1
`RightTransversalsOfGraphOfGroups` 6.2-3
`RootGroup` 4.1-2
`RootGroupHomomorphism` 5.2-3
`RootObject`, for groupoids 4.1-2
for magmas with objects 2.1-1
`SemigroupWithObjects` 2.2-1
`SinglePieceGroupoid` 4.1-1
`SinglePieceGroupoidWithRays` 4.7-1
`SinglePieceMagmaWithObjects` 2.1-1
`SinglePieceMonoidWithObjects` 2.3-1
`SinglePieceSemigroupWithObjects` 2.2-1
`SinglePieceSubgroupoidByGenerators` 4.3-7
`Size` 4.1-4
`Source` 3.1-1
standard groupoid 4.1-1
4.2-4
`Subgroupoid` 4.3-1
`SubgroupoidByObjects` 4.3-3
`SubgroupoidByPieces` 4.3-4
`SubgroupoidBySubgroup` 4.3-3
`SubgroupoidsOfGraphOfGroupoids` 6.5-1
`SubgroupoidWithRays` 4.3-2
`TailOfArrow`, for groupoids 4.2-1
for magmas with objects 2.1-3
`TailOfGraphOfGroupsWord` 6.3-1
tree groupoid 4.3-5
trivial subgroupoid 4.3-5
`UnderlyingFunction` 3.4-1
`UnionOfPieces`, for groupoids 4.1-4
for magmas with objects 2.5-1
`WordOfGraphOfGroupoidsWord` 6.5-2
`WordOfGraphOfGroupsWord` 6.3-1

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