GAP (FinInG) - Index

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### Index

`3D4fining` B.2-16
FinInG 1.4
`\*` 3.2-11 4.2-6 7.5-1 9.2-4 12.4-4
`\^` 5.7-1 9.5-3 11.5-5 13.1-12 13.1-13
`\in` 3.7-3 4.2-6 7.5-1 9.2-4 11.1-6 11.1-6 12.5-8
`AbsolutePoints` 6.3-2
`Action` 8.3-2
`ActionHomomorphism` 8.3-2
`ActionOnAllProjPoints` 5.8-2
`AffineGroup` 9.5-1
`AffineSpace` 9.1-2 9.1-2
`AffineSubspace` 9.2-1 9.2-1
`AffineVariety` 11.4-1 11.4-1
`AG` 9.1-2 9.1-2
`AlgebraicVariety` 11.1-1 11.1-1 11.2-1 11.2-1 11.4-1 11.4-1
`AmbientGeometry` 3.2-12 3.3-7
`AmbientGroup` 13.1-5
`AmbientSpace` 3.6-2 4.1-6 4.2-12 7.3-2 7.4-5 9.1-6 9.2-5 11.1-3
`AsList` 3.5-4 4.4-3 7.8-5
`AutGroupIncidenceStructureWithNauty` 13.2-1
`BaseField` 4.1-4 4.2-13 5.3-4 5.5-1 6.2-2 7.3-5 9.1-4 9.2-6
`BasePointOfEGQ` 12.6-5
`BilinearFormFieldReduction` C.2-2 C.2-2
`BlockDesignOfGeneralisedPolygon` 12.3-7
`BlownUpProjectiveSpace` C.1-3
`BlownUpProjectiveSpaceBySubfield` C.1-4
`BlownUpSubspaceOfProjectiveSpace` 10.4-4 C.1-5 C.1-5
`BlownUpSubspaceOfProjectiveSpaceBySubfield` C.1-6
`BLTSetByqClan` 12.6-14
`Borelsubgroup` 13.1-6
`CanComputeActionOnPoints` 5.10-4
`CanonicalGramMatrix` B.1-1
`CanonicalPolarSpace` 7.2-7 7.2-7
`CanonicalQuadraticForm` B.1-2
`CanonicalResidueOfFlag` 13.1-21
`Collineation` 5.2-2 5.2-2
`CollineationAction` 12.3-6 12.6-6
`CollineationGroup` 5.4-2 7.7-4 9.5-2 12.3-5 12.5-10
`CollineationOfProjectiveSpace` 5.2-2 5.2-2 5.2-2 5.2-2 5.2-2 5.2-2
`CollineationSubgroup` 12.6-18
`CompanionAutomorphism` 6.2-4
`ComplementSpace` 9.6-4
`Coordinates` 4.2-8 7.4-6
`CorGroupIncidenceStructureWithNauty` 13.2-2
`Correlation` 5.2-6
`CorrelationCollineationGroup` 5.4-6
`CorrelationOfProjectiveSpace` 5.2-6 5.2-6 5.2-6 5.2-6 5.2-6
`CosetGeometry` 13.1-2
`DefiningListOfPolynomials` 11.1-2
`DefiningPlanesOfEGQByBLTSet` 12.6-16
`DeltaOminus` B.2-9
`DeltaOplus` B.2-10
`DiagramOfGeometry` 13.3-1
`Dimension` 4.1-3 5.5-2 7.3-3 7.4-3 9.1-3
`DistanceBetweenElements` 12.4-8
`DrawDiagram` 13.3-3 13.3-3 13.3-3
`DrawDiagramWithNeato` 13.3-4
`DualCoordinatesOfHyperplane` 4.2-9
`EGQByBLTSet` 12.6-15
`EGQByKantorFamily` 12.6-4
`EGQByqClan` 12.6-11
`ElationGroup` 12.6-6
`ElationOfProjectiveSpace` 5.9-1
`ElementsIncidentWithElementOfIncidenceStructure` 3.4-2 4.3-3 7.6-2 12.4-7
`ElementsOfFlag` 3.3-4
`ElementsOfIncidenceStructure` 3.2-6 3.2-6 3.2-7 4.2-4 7.4-4 9.2-2
`ElementsOfIncidencStructure` 12.4-1
`ElementToElement` 3.8-1
`EllipticQuadric` 7.2-5 7.2-5
`Embed` 3.8-1
`Embedding` 5.6-1
`EmptySubspace` 4.2-2 7.4-2
`Enumerator` 3.5-2 4.4-2 7.8-2 9.4-2
`EquationOfHyperplane` 4.2-11
`FieldAutomorphism` 5.3-5
`FindBasePointCandidates` B.3-1
`FINING` 5.10-3
`FiningOrbit` 8.1-1
`FiningOrbits` 8.1-2 8.1-2
`FiningOrbitsDomain` 8.1-3
`FiningSetwiseStabiliser` 8.2-3
`FiningStabiliser` 8.2-1
`FiningStabiliserOrb` 8.2-2
`FisherqClan` 12.6-9
`FisherThasWalkerKantorBettenqClan` 12.6-9
`FlagOfIncidenceStructure` 3.3-1 4.2-18
`FlagToStandardFlag` 13.1-20
`G2fining` B.2-15
`GammaO` B.2-12
`GammaOminus` B.2-11
`GammaOplus` B.2-13
`GammaSp` B.2-8
`GammaU` B.2-14
`GeneralisedPolygonByBlocks` 12.2-1
`GeneralisedPolygonByElements` 12.2-3 12.2-3
`GeneralisedPolygonByIncidenceMatrix` 12.2-2
`GeneralSymplecticGroup` B.2-6
`GeometryOfAbsolutePoints` 6.3-1
`GeometryOfDiagram` 13.3-2
`GeometryOfRank2Residue` 13.1-26
`GOdesargues` B.2-2
`GramMatrix` 6.2-3
`GrassmannMap` 11.8-3 11.8-3 11.8-3 11.8-3
`GrassmannVariety` 11.8-1 11.8-1 11.8-1
`GSpdesargues` B.2-7
`GUdesargues` B.2-4
`HermitianFormFieldReduction` C.2-3 C.2-3
`HermitianPolarityOfProjectiveSpace` 6.1-2
`HermitianPolarSpace` 7.2-2 7.2-2
`HermitianVariety` 11.3-1 11.3-1 11.3-1 11.3-1
`HomographyGroup` 5.4-1
`HomologyOfProjectiveSpace` 5.9-3
`HyperbolicQuadric` 7.2-4 7.2-4
`HyperplaneByDualCoordinates` 4.2-10
`Hyperplanes` 3.7-4 3.7-4 4.2-5 4.3-4 4.3-4 9.2-3
`IdentityMappingOfElementsOfProjectiveSpace` 5.2-4
`ImageElm` 11.5-3
`ImagesSet` 11.5-4
`IncidenceGraph` 3.1-8 12.3-3 13.1-23
`IncidenceGraphAttr` 12.3-2
`IncidenceMatrixOfGeneralisedPolygon` 12.3-4
`IncidenceStructure` 3.1-3
`Intertwiner` 10.1-2
`InversePluckerCoordinates` C.3-1
`IsAffineSpace` 3.1-4 9.1-1
`IsCanonicalPolarSpace` 7.2-6
`IsChamberOfIncidenceStructure` 3.3-2 4.2-20
`IsClassicalGeneralisedHexagon` 12.1-6
`IsClassicalGQ` 12.1-5
`IsClassicalPolarSpace` 3.6-1 7.1-1
`IsCollinear` 7.5-4
`IsCollineation` 5.1-4
`IsCollineationGroup` 5.4-5
`IsConnected` 13.1-17
`IsCorrelation` 5.1-6
`IsCorrelationCollineation` 5.1-6
`IsCosetGeometry` 3.1-4 13.1-1
`IsDesarguesianPlane` 12.1-4
`IsDesarguesianSpreadElement` C.1-7
`IsEGQByBLTSet` 12.6-13
`IsEGQByKantorFamily` 12.6-2
`IsElationGQ` 12.1-5
`IsElementOfAffineSpace` 3.2-1
`IsElementOfCosetGeometry` 3.2-1
`IsElementOfGeneralisedPolygon` 3.2-1
`IsElementOfIncidenceGeometry` 3.2-1
`IsElementOfIncidenceStructure` 3.2-1
`IsElementOfKantorFamily` 12.6-2
`IsElementOfLieGeometry` 3.2-1
`IsElementsOfAffineSpace` 3.2-5
`IsElementsOfCosetGeometry` 3.2-5
`IsElementsOfIncidenceGeometry` 3.2-5
`IsElementsOfIncidenceStructure` 3.2-5
`IsElementsOfLieGeometry` 3.2-5
`IsEllipticQuadric` 7.3-7
`IsEmptyFlag` 3.3-3 4.2-19
`IsEmptySubspace` 3.6-5
`IsFirmGeometry` 13.1-14
`IsFlagTransitiveGeometry` 13.1-10
`IsGeneralisedHexagon` 12.1-2
`IsGeneralisedOctagon` 12.1-2
`IsGeneralisedPolygon` 3.1-4 12.1-1
`IsGeneralisedPolygonRep` 12.1-1
`IsGeneralisedQuadrangle` 12.1-2
`IsGeometryMorphism` 10.1-1
`IsHermitianPolarityOfProjectiveSpace` 6.2-5
`IsHyperbolicQuadric` 7.3-6
`IsIncidenceGeometry` 3.1-2
`IsIncidenceStructure` 3.1-1
`IsIncident` 3.2-11 3.3-9 3.3-9 4.2-6 7.5-1 9.2-4 12.4-4 13.1-3
`IsIsomorphicIncidenceStructureWithNauty` 13.2-3
`IsKantorFamily` 12.6-3
`IsLieGeometry` 3.1-4 12.5-2
Isometry 7.7 7.7
`IsometryGroup` 7.7-2
`IsomorphismPolarSpaces` 10.2-1 10.2-1
`IsomorphismPolarSpacesNC` C.3-3 C.3-3
`IsomorphismPolarSpacesProjectionFromNucleus` C.3-2
`IsOrthogonalPolarityOfProjectiveSpace` 6.2-7
`IsParabolicQuadric` 7.3-8
`IsParallel` 9.2-9
`IsProjectivePlaneCategory` 12.1-2
`IsProjectiveSpace` 3.6-1 4.1-1
`IsProjectivity` 5.1-3
`IsProjectivityGroup` 5.4-4
`IsProjGrpEl` 5.1-1
`IsProjGrpElRep` 5.1-2
`IsProjGrpElWithFrob` 5.1-1
`IsProjGrpElWithFrobRep` 5.1-2
`IsProjGrpElWithFrobWithPSIsom` 5.1-1 5.1-6
`IsProjGrpElWithFrobWithPSIsomRep` 5.1-2
`IsPseudoPolarityOfProjectiveSpace` 6.2-8
`IsResiduallyConnected` 13.1-18
`IsStrictlySemilinear` 5.1-5
`IsSubspaceOfClassicalPolarSpace` 3.2-1
`IsSubspaceOfProjectiveSpace` 3.2-1
`IsSubspacesOfClassicalPolarSpace` 3.2-5
`IsSubspacesOfProjectiveSpace` 3.2-5
`IsSymplecticPolarityOfProjectiveSpace` 6.2-6
`IsThickGeometry` 13.1-15
`IsThinGeometry` 13.1-16
`IsVectorSpaceTransversal` 9.6-1
`IsWeakGeneralisedPolygon` 12.1-3
`Iterator` 3.5-1 4.4-1 7.8-4 9.4-1 11.1-5
`KantorFamilyByqClan` 12.6-10
`KantorKnuthqClan` 12.6-9
`KantorMonomialqClan` 12.6-9
`KleinCorrespondence` 10.3-2 10.3-2 10.3-2 10.3-2 10.3-3 10.3-3
`KleinCorrespondenceExtended` 10.3-4 10.3-4
`LinearqClan` 12.6-9
`Lines` 3.2-8 3.4-5 3.4-5 4.2-5 4.3-4 4.3-4 9.2-3 12.4-1 12.4-7
`List` 3.5-3 4.4-3 7.8-2
`MatrixOfCollineation` 5.3-2
`MatrixOfCorrelation` 5.3-3
`Meet` 4.2-17 4.2-17 7.5-3 9.2-8 12.4-6 12.5-9
`NaturalDuality` 10.3-5 10.3-5 10.3-5 10.3-5
`NaturalEmbeddingByFieldReduction` 10.4-5 10.4-5 10.4-5 10.4-5 10.5-4 10.5-4 10.5-4 10.5-4 10.5-4 10.5-4 10.5-5 10.5-5
`NaturalEmbeddingBySubField` 10.4-2 10.4-2 10.5-2 10.5-2
`NaturalEmbeddingBySubspace` 10.4-1 10.5-1
`NaturalEmbeddingBySubspaceNC` C.3-4
`NaturalProjectionBySubspace` 10.6-1
`NaturalProjectionBySubspaceNC` C.3-5
`NiceMonomorphism` 5.10-1 8.3-3
`NiceMonomorphismByDomain` 5.10-5
`NiceMonomorphismByOrbit` 5.10-6
`NiceObject` 5.10-2 8.3-4
`NrElementsOfIncidenceStructure` 3.2-9 3.2-9
`ObjectToElement` 3.2-4 12.4-3 12.4-3 12.5-6 12.6-5 12.6-5 12.6-17 12.6-17
`OnAffineSpaces` 9.5-3
`OnCosetGeometryElement` 13.1-11
`OnKantorFamily` 12.6-6
`OnProjSubspaces` 5.8-1 8.3-1
`OnProjSubspacesExtended` 5.8-3 8.3-1
`OnSetsProjSubspaces` 8.3-1
`Order` 5.3-7 12.3-1
`ParabolicQuadric` 7.2-3 7.2-3
`ParabolicSubgroups` 13.1-4
`ParallelClass` 9.2-10 9.2-10
`PG` 4.1-2
`Planes` 3.2-8 3.4-5 3.4-5 4.2-5 4.3-4 4.3-4 9.2-3
`PluckerCoordinates` 10.3-1 C.3-1
`Points` 3.2-8 3.4-5 3.4-5 4.2-5 4.3-4 4.3-4 9.2-3 11.1-4 11.6-2 11.7-2 11.8-2 12.4-1 12.4-7
`PointsOfAlgebraicVariety` 11.1-4
`PointsOfGrassmannVariety` 11.8-2
`PointsOfSegreVariety` 11.6-2
`PointsOfVeroneseVariety` 11.7-2
`PolarityOfProjectiveSpace` 6.1-1 6.1-2 6.1-3 6.1-4 7.5-5
`PolarSpace` 6.3-3 7.1-2 7.1-2 11.3-5
`Pole` 7.5-8
`ProjectiveCompletion` 10.7-1
`ProjectiveDimension` 3.6-4 4.1-3 4.2-3 7.3-3 7.4-3
`ProjectiveElationGroup` 5.9-2 5.9-2
`ProjectiveHomologyGroup` 5.9-4
`ProjectiveSemilinearMap` 5.2-3
`ProjectiveSpace` 4.1-2 4.1-2
`ProjectiveSpaceIsomorphism` 5.3-6
`ProjectiveStabiliserGroupOfSubspace` 8.2-5
`ProjectiveVariety` 11.2-1 11.2-1
`Projectivity` 5.2-1 5.2-1
`ProjectivityGroup` 5.4-1
`qClan` 12.6-8
`QuadraticForm` 11.3-3
`QuadraticFormFieldReduction` C.2-1 C.2-1
`QuadraticVariety` 11.3-2 11.3-2 11.3-2 11.3-2 11.3-2 11.3-2
`Random` 3.2-10 4.2-14
`RandomChamber` 13.1-9
`RandomElement` 13.1-7
`RandomFlag` 13.1-8
`RandomSubspace` 4.2-15 4.2-15
`Range` 11.5-2
`Rank` 3.1-7 3.3-5 4.1-3 7.3-4 9.1-3
`Rank2Parameters` 13.1-27
`RankAttr` 3.1-7
`Representative` 5.3-1
`ResidueOfFlag` 3.4-4 13.1-22
`Rk2GeoDiameter` 13.1-25
`Rk2GeoGonality` 13.1-24
`SegreMap` 11.6-3 11.6-3 11.6-3 11.6-3 11.6-3 11.6-3
`SegreVariety` 11.6-1 11.6-1 11.6-1 11.6-1 11.6-1
`SelfDuality` 10.3-6 10.3-6
Semi-similarity 7.7 7.7
`SesquilinearForm` 6.2-1 11.3-4
`SetParent` 8.3-6
`ShadowOfElement` 3.4-1 3.4-1 4.3-1 4.3-1 7.6-1 7.6-1 9.3-1 12.4-7
`ShadowOfFlag` 3.4-3 3.4-3 3.4-3 3.4-3 4.3-2 4.3-2 9.3-2
`ShrinkMat` C.1-2 C.1-2
`ShrinkVec` C.1-1 C.1-1
Similarity 7.7 7.7
`SimilarityGroup` 7.7-3
`Size` 3.3-6 12.4-2
`SOdesargues` B.2-1
`Solids` 3.2-8 3.4-5 3.4-5 4.2-5 4.3-4 4.3-4 9.2-3
`Source` 11.5-1 11.6-4 11.7-4 11.8-4
`Span` 4.2-16 4.2-16 7.5-2 9.2-7 12.4-5 12.5-9
`Spdesargues` B.2-5
`SpecialHomographyGroup` 5.4-3
`SpecialIsometryGroup` 7.7-1
`SpecialProjectiveStabiliserGroupOfSubspace` 8.2-6
`SpecialProjectivityGroup` 5.4-3
`SplitCayleyHexagon` 12.5-3 12.5-3 12.5-3
`StabiliserGroupOfSubspace` 8.2-4
`StandardDualityOfProjectiveSpace` 5.2-5
`StandardFlagOfCosetGeometry` 13.1-19
`StandardFrame` 4.2-7
`StandardPolarSpace` 7.2-8 7.2-8
`SUdesargues` B.2-3
`SymplecticSpace` 7.2-1 7.2-1
`TangentSpace` 7.5-7 7.5-7
`TwistedTrialityHexagon` 12.5-4 12.5-4 12.5-4
`Type` 3.2-3 3.3-8
`TypeOfSubspace` 7.5-6
`TypesOfElementsOfIncidenceStructure` 3.1-6
`TypesOfElementsOfIncidenceStructurePlural` 3.1-6
`UnderlyingObject` 3.2-2 3.7-2 12.4-3 12.5-7 12.6-5 12.6-17
`UnderlyingVectorSpace` 3.6-3 4.1-5 7.3-1 9.1-5
`VectorSpaceToElement` 3.7-1 3.7-1 4.2-1 7.4-1 12.5-5
`VectorSpaceTransversal` 9.6-2
`VectorSpaceTransversalElement` 9.6-3
`VeroneseMap` 11.7-3 11.7-3 11.7-3 11.7-3
`VeroneseVariety` 11.7-1 11.7-1 11.7-1

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