\indexentry{IsIncidenceStructure@\texttt  {IsIncidenceStructure}|hyperpage}{39}
\indexentry{IsIncidenceGeometry@\texttt  {IsIncidenceGeometry}|hyperpage}{39}
\indexentry{IncidenceStructure@\texttt  {IncidenceStructure}|hyperpage}{39}
\indexentry{IsLieGeometry@\texttt  {IsLieGeometry}|hyperpage}{40}
\indexentry{IsAffineSpace@\texttt  {IsAffineSpace}|hyperpage}{40}
\indexentry{IsGeneralisedPolygon@\texttt  {IsGeneralisedPolygon}|hyperpage}{40}
\indexentry{IsCosetGeometry@\texttt  {IsCosetGeometry}|hyperpage}{40}
\indexentry{TypesOfElementsOfIncidenceStructure@\texttt  {TypesOfElementsOfIncidenceStructure}|hyperpage}{40}
\indexentry{TypesOfElementsOfIncidenceStructurePlural@\texttt  {Types}\discretionary {-}{}{}\texttt  {Of}\discretionary {-}{}{}\texttt  {Elements}\discretionary {-}{}{}\texttt  {Of}\discretionary {-}{}{}\texttt  {Incidence}\discretionary {-}{}{}\texttt  {Structure}\discretionary {-}{}{}\texttt  {Plural}|hyperpage}{40}
\indexentry{Rank@\texttt  {Rank}|hyperpage}{41}
\indexentry{RankAttr@\texttt  {RankAttr}|hyperpage}{41}
\indexentry{IncidenceGraph@\texttt  {IncidenceGraph}|hyperpage}{41}
\indexentry{IsElementOfIncidenceStructure@\texttt  {IsElementOfIncidenceStructure}|hyperpage}{43}
\indexentry{IsElementOfIncidenceGeometry@\texttt  {IsElementOfIncidenceGeometry}|hyperpage}{43}
\indexentry{IsElementOfLieGeometry@\texttt  {IsElementOfLieGeometry}|hyperpage}{43}
\indexentry{IsElementOfAffineSpace@\texttt  {IsElementOfAffineSpace}|hyperpage}{43}
\indexentry{IsElementOfCosetGeometry@\texttt  {IsElementOfCosetGeometry}|hyperpage}{43}
\indexentry{IsSubspaceOfProjectiveSpace@\texttt  {IsSubspaceOfProjectiveSpace}|hyperpage}{43}
\indexentry{IsSubspaceOfClassicalPolarSpace@\texttt  {IsSubspaceOfClassicalPolarSpace}|hyperpage}{43}
\indexentry{IsElementOfGeneralisedPolygon@\texttt  {IsElementOfGeneralisedPolygon}|hyperpage}{43}
\indexentry{UnderlyingObject@\texttt  {UnderlyingObject}|hyperpage}{43}
\indexentry{Type@\texttt  {Type}|hyperpage}{45}
\indexentry{ObjectToElement@\texttt  {ObjectToElement}|hyperpage}{45}
\indexentry{IsElementsOfIncidenceStructure@\texttt  {IsElementsOfIncidenceStructure}|hyperpage}{45}
\indexentry{IsElementsOfIncidenceGeometry@\texttt  {IsElementsOfIncidenceGeometry}|hyperpage}{45}
\indexentry{IsElementsOfLieGeometry@\texttt  {IsElementsOfLieGeometry}|hyperpage}{45}
\indexentry{IsElementsOfAffineSpace@\texttt  {IsElementsOfAffineSpace}|hyperpage}{45}
\indexentry{IsElementsOfCosetGeometry@\texttt  {IsElementsOfCosetGeometry}|hyperpage}{45}
\indexentry{IsSubspacesOfProjectiveSpace@\texttt  {IsSubspacesOfProjectiveSpace}|hyperpage}{45}
\indexentry{IsSubspacesOfClassicalPolarSpace@\texttt  {IsSubspacesOfClassicalPolarSpace}|hyperpage}{46}
\indexentry{ElementsOfIncidenceStructure@\texttt  {ElementsOfIncidenceStructure}|hyperpage}{46}
\indexentry{ElementsOfIncidenceStructure@\texttt  {ElementsOfIncidenceStructure}|hyperpage}{46}
\indexentry{ElementsOfIncidenceStructure@\texttt  {ElementsOfIncidenceStructure}|hyperpage}{47}
\indexentry{Points@\texttt  {Points}|hyperpage}{47}
\indexentry{Lines@\texttt  {Lines}|hyperpage}{47}
\indexentry{Planes@\texttt  {Planes}|hyperpage}{47}
\indexentry{Solids@\texttt  {Solids}|hyperpage}{47}
\indexentry{NrElementsOfIncidenceStructure@\texttt  {NrElementsOfIncidenceStructure}|hyperpage}{47}
\indexentry{NrElementsOfIncidenceStructure@\texttt  {NrElementsOfIncidenceStructure}|hyperpage}{47}
\indexentry{Random@\texttt  {Random}|hyperpage}{48}
\indexentry{IsIncident@\texttt  {IsIncident}|hyperpage}{48}
\indexentry{*@\texttt  {\texttt  {\char 92\relax }*}|hyperpage}{48}
\indexentry{AmbientGeometry@\texttt  {AmbientGeometry}|hyperpage}{48}
\indexentry{FlagOfIncidenceStructure@\texttt  {FlagOfIncidenceStructure}|hyperpage}{49}
\indexentry{IsChamberOfIncidenceStructure@\texttt  {IsChamberOfIncidenceStructure}|hyperpage}{50}
\indexentry{IsEmptyFlag@\texttt  {IsEmptyFlag}|hyperpage}{50}
\indexentry{ElementsOfFlag@\texttt  {ElementsOfFlag}|hyperpage}{50}
\indexentry{Rank@\texttt  {Rank}|hyperpage}{51}
\indexentry{Size@\texttt  {Size}|hyperpage}{51}
\indexentry{AmbientGeometry@\texttt  {AmbientGeometry}|hyperpage}{51}
\indexentry{Type@\texttt  {Type}|hyperpage}{52}
\indexentry{IsIncident@\texttt  {IsIncident}|hyperpage}{52}
\indexentry{IsIncident@\texttt  {IsIncident}|hyperpage}{52}
\indexentry{ShadowOfElement@\texttt  {ShadowOfElement}|hyperpage}{53}
\indexentry{ShadowOfElement@\texttt  {ShadowOfElement}|hyperpage}{53}
\indexentry{ElementsIncidentWithElementOfIncidenceStructure@\texttt  {Elements}\discretionary {-}{}{}\texttt  {Incident}\discretionary {-}{}{}\texttt  {With}\discretionary {-}{}{}\texttt  {Element}\discretionary {-}{}{}\texttt  {Of}\discretionary {-}{}{}\texttt  {Incidence}\discretionary {-}{}{}\texttt  {Structure}|hyperpage}{54}
\indexentry{ShadowOfFlag@\texttt  {ShadowOfFlag}|hyperpage}{54}
\indexentry{ShadowOfFlag@\texttt  {ShadowOfFlag}|hyperpage}{54}
\indexentry{ShadowOfFlag@\texttt  {ShadowOfFlag}|hyperpage}{54}
\indexentry{ShadowOfFlag@\texttt  {ShadowOfFlag}|hyperpage}{54}
\indexentry{ResidueOfFlag@\texttt  {ResidueOfFlag}|hyperpage}{54}
\indexentry{Points@\texttt  {Points}|hyperpage}{55}
\indexentry{Lines@\texttt  {Lines}|hyperpage}{55}
\indexentry{Planes@\texttt  {Planes}|hyperpage}{55}
\indexentry{Solids@\texttt  {Solids}|hyperpage}{55}
\indexentry{Points@\texttt  {Points}|hyperpage}{55}
\indexentry{Lines@\texttt  {Lines}|hyperpage}{55}
\indexentry{Planes@\texttt  {Planes}|hyperpage}{55}
\indexentry{Solids@\texttt  {Solids}|hyperpage}{55}
\indexentry{Iterator@\texttt  {Iterator}|hyperpage}{56}
\indexentry{Enumerator@\texttt  {Enumerator}|hyperpage}{57}
\indexentry{List@\texttt  {List}|hyperpage}{57}
\indexentry{AsList@\texttt  {AsList}|hyperpage}{60}
\indexentry{IsProjectiveSpace@\texttt  {IsProjectiveSpace}|hyperpage}{62}
\indexentry{IsClassicalPolarSpace@\texttt  {IsClassicalPolarSpace}|hyperpage}{62}
\indexentry{AmbientSpace@\texttt  {AmbientSpace}|hyperpage}{63}
\indexentry{UnderlyingVectorSpace@\texttt  {UnderlyingVectorSpace}|hyperpage}{63}
\indexentry{ProjectiveDimension@\texttt  {ProjectiveDimension}|hyperpage}{63}
\indexentry{IsEmptySubspace@\texttt  {IsEmptySubspace}|hyperpage}{63}
\indexentry{VectorSpaceToElement@\texttt  {VectorSpaceToElement}|hyperpage}{64}
\indexentry{VectorSpaceToElement@\texttt  {VectorSpaceToElement}|hyperpage}{64}
\indexentry{UnderlyingObject@\texttt  {UnderlyingObject}|hyperpage}{65}
\indexentry{in@\texttt  {\texttt  {\char 92\relax }in}|hyperpage}{65}
\indexentry{Hyperplanes@\texttt  {Hyperplanes}|hyperpage}{65}
\indexentry{Hyperplanes@\texttt  {Hyperplanes}|hyperpage}{65}
\indexentry{ElementToElement@\texttt  {ElementToElement}|hyperpage}{66}
\indexentry{Embed@\texttt  {Embed}|hyperpage}{66}
\indexentry{IsProjectiveSpace@\texttt  {IsProjectiveSpace}|hyperpage}{68}
\indexentry{ProjectiveSpace@\texttt  {ProjectiveSpace}|hyperpage}{68}
\indexentry{ProjectiveSpace@\texttt  {ProjectiveSpace}|hyperpage}{68}
\indexentry{PG@\texttt  {PG}|hyperpage}{68}
\indexentry{ProjectiveDimension@\texttt  {ProjectiveDimension}|hyperpage}{69}
\indexentry{Dimension@\texttt  {Dimension}|hyperpage}{69}
\indexentry{Rank@\texttt  {Rank}|hyperpage}{69}
\indexentry{BaseField@\texttt  {BaseField}|hyperpage}{69}
\indexentry{UnderlyingVectorSpace@\texttt  {UnderlyingVectorSpace}|hyperpage}{69}
\indexentry{AmbientSpace@\texttt  {AmbientSpace}|hyperpage}{70}
\indexentry{VectorSpaceToElement@\texttt  {VectorSpaceToElement}|hyperpage}{70}
\indexentry{EmptySubspace@\texttt  {EmptySubspace}|hyperpage}{71}
\indexentry{ProjectiveDimension@\texttt  {ProjectiveDimension}|hyperpage}{71}
\indexentry{ElementsOfIncidenceStructure@\texttt  {ElementsOfIncidenceStructure}|hyperpage}{72}
\indexentry{Points@\texttt  {Points}|hyperpage}{72}
\indexentry{Lines@\texttt  {Lines}|hyperpage}{72}
\indexentry{Planes@\texttt  {Planes}|hyperpage}{72}
\indexentry{Solids@\texttt  {Solids}|hyperpage}{72}
\indexentry{Hyperplanes@\texttt  {Hyperplanes}|hyperpage}{72}
\indexentry{IsIncident@\texttt  {IsIncident}|hyperpage}{73}
\indexentry{*@\texttt  {\texttt  {\char 92\relax }*}|hyperpage}{73}
\indexentry{in@\texttt  {\texttt  {\char 92\relax }in}|hyperpage}{73}
\indexentry{StandardFrame@\texttt  {StandardFrame}|hyperpage}{74}
\indexentry{Coordinates@\texttt  {Coordinates}|hyperpage}{74}
\indexentry{DualCoordinatesOfHyperplane@\texttt  {DualCoordinatesOfHyperplane}|hyperpage}{74}
\indexentry{HyperplaneByDualCoordinates@\texttt  {HyperplaneByDualCoordinates}|hyperpage}{75}
\indexentry{EquationOfHyperplane@\texttt  {EquationOfHyperplane}|hyperpage}{75}
\indexentry{AmbientSpace@\texttt  {AmbientSpace}|hyperpage}{75}
\indexentry{BaseField@\texttt  {BaseField}|hyperpage}{75}
\indexentry{Random@\texttt  {Random}|hyperpage}{76}
\indexentry{RandomSubspace@\texttt  {RandomSubspace}|hyperpage}{77}
\indexentry{RandomSubspace@\texttt  {RandomSubspace}|hyperpage}{77}
\indexentry{Span@\texttt  {Span}|hyperpage}{77}
\indexentry{Span@\texttt  {Span}|hyperpage}{77}
\indexentry{Meet@\texttt  {Meet}|hyperpage}{78}
\indexentry{Meet@\texttt  {Meet}|hyperpage}{78}
\indexentry{FlagOfIncidenceStructure@\texttt  {FlagOfIncidenceStructure}|hyperpage}{79}
\indexentry{IsEmptyFlag@\texttt  {IsEmptyFlag}|hyperpage}{79}
\indexentry{IsChamberOfIncidenceStructure@\texttt  {IsChamberOfIncidenceStructure}|hyperpage}{80}
\indexentry{ShadowOfElement@\texttt  {ShadowOfElement}|hyperpage}{80}
\indexentry{ShadowOfElement@\texttt  {ShadowOfElement}|hyperpage}{80}
\indexentry{ShadowOfFlag@\texttt  {ShadowOfFlag}|hyperpage}{81}
\indexentry{ShadowOfFlag@\texttt  {ShadowOfFlag}|hyperpage}{81}
\indexentry{ElementsIncidentWithElementOfIncidenceStructure@\texttt  {Elements}\discretionary {-}{}{}\texttt  {Incident}\discretionary {-}{}{}\texttt  {With}\discretionary {-}{}{}\texttt  {Element}\discretionary {-}{}{}\texttt  {Of}\discretionary {-}{}{}\texttt  {Incidence}\discretionary {-}{}{}\texttt  {Structure}|hyperpage}{81}
\indexentry{Points@\texttt  {Points}|hyperpage}{82}
\indexentry{Lines@\texttt  {Lines}|hyperpage}{82}
\indexentry{Planes@\texttt  {Planes}|hyperpage}{82}
\indexentry{Solids@\texttt  {Solids}|hyperpage}{82}
\indexentry{Hyperplanes@\texttt  {Hyperplanes}|hyperpage}{82}
\indexentry{Points@\texttt  {Points}|hyperpage}{82}
\indexentry{Lines@\texttt  {Lines}|hyperpage}{82}
\indexentry{Planes@\texttt  {Planes}|hyperpage}{82}
\indexentry{Solids@\texttt  {Solids}|hyperpage}{82}
\indexentry{Hyperplanes@\texttt  {Hyperplanes}|hyperpage}{82}
\indexentry{Iterator@\texttt  {Iterator}|hyperpage}{82}
\indexentry{Enumerator@\texttt  {Enumerator}|hyperpage}{83}
\indexentry{List@\texttt  {List}|hyperpage}{83}
\indexentry{AsList@\texttt  {AsList}|hyperpage}{83}
\indexentry{IsProjGrpEl@\texttt  {IsProjGrpEl}|hyperpage}{85}
\indexentry{IsProjGrpElWithFrob@\texttt  {IsProjGrpElWithFrob}|hyperpage}{85}
\indexentry{IsProjGrpElWithFrobWithPSIsom@\texttt  {IsProjGrpElWithFrobWithPSIsom}|hyperpage}{85}
\indexentry{IsProjGrpElRep@\texttt  {IsProjGrpElRep}|hyperpage}{85}
\indexentry{IsProjGrpElWithFrobRep@\texttt  {IsProjGrpElWithFrobRep}|hyperpage}{85}
\indexentry{IsProjGrpElWithFrobWithPSIsomRep@\texttt  {IsProjGrpElWithFrobWithPSIsomRep}|hyperpage}{86}
\indexentry{IsProjectivity@\texttt  {IsProjectivity}|hyperpage}{86}
\indexentry{IsCollineation@\texttt  {IsCollineation}|hyperpage}{87}
\indexentry{IsStrictlySemilinear@\texttt  {IsStrictlySemilinear}|hyperpage}{87}
\indexentry{IsProjGrpElWithFrobWithPSIsom@\texttt  {IsProjGrpElWithFrobWithPSIsom}|hyperpage}{88}
\indexentry{IsCorrelationCollineation@\texttt  {IsCorrelationCollineation}|hyperpage}{88}
\indexentry{IsCorrelation@\texttt  {IsCorrelation}|hyperpage}{88}
\indexentry{Projectivity@\texttt  {Projectivity}|hyperpage}{88}
\indexentry{Projectivity@\texttt  {Projectivity}|hyperpage}{88}
\indexentry{CollineationOfProjectiveSpace@\texttt  {CollineationOfProjectiveSpace}|hyperpage}{89}
\indexentry{CollineationOfProjectiveSpace@\texttt  {CollineationOfProjectiveSpace}|hyperpage}{89}
\indexentry{CollineationOfProjectiveSpace@\texttt  {CollineationOfProjectiveSpace}|hyperpage}{89}
\indexentry{CollineationOfProjectiveSpace@\texttt  {CollineationOfProjectiveSpace}|hyperpage}{89}
\indexentry{CollineationOfProjectiveSpace@\texttt  {CollineationOfProjectiveSpace}|hyperpage}{89}
\indexentry{CollineationOfProjectiveSpace@\texttt  {CollineationOfProjectiveSpace}|hyperpage}{89}
\indexentry{Collineation@\texttt  {Collineation}|hyperpage}{89}
\indexentry{Collineation@\texttt  {Collineation}|hyperpage}{89}
\indexentry{ProjectiveSemilinearMap@\texttt  {ProjectiveSemilinearMap}|hyperpage}{89}
\indexentry{IdentityMappingOfElementsOfProjectiveSpace@\texttt  {Identity}\discretionary {-}{}{}\texttt  {Mapping}\discretionary {-}{}{}\texttt  {Of}\discretionary {-}{}{}\texttt  {Elements}\discretionary {-}{}{}\texttt  {Of}\discretionary {-}{}{}\texttt  {Projective}\discretionary {-}{}{}\texttt  {Space}|hyperpage}{90}
\indexentry{StandardDualityOfProjectiveSpace@\texttt  {StandardDualityOfProjectiveSpace}|hyperpage}{90}
\indexentry{CorrelationOfProjectiveSpace@\texttt  {CorrelationOfProjectiveSpace}|hyperpage}{90}
\indexentry{CorrelationOfProjectiveSpace@\texttt  {CorrelationOfProjectiveSpace}|hyperpage}{90}
\indexentry{CorrelationOfProjectiveSpace@\texttt  {CorrelationOfProjectiveSpace}|hyperpage}{90}
\indexentry{CorrelationOfProjectiveSpace@\texttt  {CorrelationOfProjectiveSpace}|hyperpage}{90}
\indexentry{CorrelationOfProjectiveSpace@\texttt  {CorrelationOfProjectiveSpace}|hyperpage}{90}
\indexentry{Correlation@\texttt  {Correlation}|hyperpage}{90}
\indexentry{Representative@\texttt  {Representative}|hyperpage}{91}
\indexentry{MatrixOfCollineation@\texttt  {MatrixOfCollineation}|hyperpage}{92}
\indexentry{MatrixOfCorrelation@\texttt  {MatrixOfCorrelation}|hyperpage}{92}
\indexentry{BaseField@\texttt  {BaseField}|hyperpage}{92}
\indexentry{FieldAutomorphism@\texttt  {FieldAutomorphism}|hyperpage}{93}
\indexentry{ProjectiveSpaceIsomorphism@\texttt  {ProjectiveSpaceIsomorphism}|hyperpage}{93}
\indexentry{Order@\texttt  {Order}|hyperpage}{93}
\indexentry{ProjectivityGroup@\texttt  {ProjectivityGroup}|hyperpage}{94}
\indexentry{HomographyGroup@\texttt  {HomographyGroup}|hyperpage}{94}
\indexentry{CollineationGroup@\texttt  {CollineationGroup}|hyperpage}{95}
\indexentry{SpecialProjectivityGroup@\texttt  {SpecialProjectivityGroup}|hyperpage}{95}
\indexentry{SpecialHomographyGroup@\texttt  {SpecialHomographyGroup}|hyperpage}{95}
\indexentry{IsProjectivityGroup@\texttt  {IsProjectivityGroup}|hyperpage}{96}
\indexentry{IsCollineationGroup@\texttt  {IsCollineationGroup}|hyperpage}{96}
\indexentry{CorrelationCollineationGroup@\texttt  {CorrelationCollineationGroup}|hyperpage}{96}
\indexentry{BaseField@\texttt  {BaseField}|hyperpage}{96}
\indexentry{Dimension@\texttt  {Dimension}|hyperpage}{97}
\indexentry{Embedding@\texttt  {Embedding}|hyperpage}{97}
\indexentry{^@\texttt  {\texttt  {\char 92\relax }\texttt  {\char 94\relax }}|hyperpage}{98}
\indexentry{OnProjSubspaces@\texttt  {OnProjSubspaces}|hyperpage}{98}
\indexentry{ActionOnAllProjPoints@\texttt  {ActionOnAllProjPoints}|hyperpage}{99}
\indexentry{OnProjSubspacesExtended@\texttt  {OnProjSubspacesExtended}|hyperpage}{99}
\indexentry{ElationOfProjectiveSpace@\texttt  {ElationOfProjectiveSpace}|hyperpage}{101}
\indexentry{ProjectiveElationGroup@\texttt  {ProjectiveElationGroup}|hyperpage}{101}
\indexentry{ProjectiveElationGroup@\texttt  {ProjectiveElationGroup}|hyperpage}{101}
\indexentry{HomologyOfProjectiveSpace@\texttt  {HomologyOfProjectiveSpace}|hyperpage}{102}
\indexentry{ProjectiveHomologyGroup@\texttt  {ProjectiveHomologyGroup}|hyperpage}{102}
\indexentry{NiceMonomorphism@\texttt  {NiceMonomorphism}|hyperpage}{103}
\indexentry{NiceObject@\texttt  {NiceObject}|hyperpage}{104}
\indexentry{FINING@\texttt  {FINING}|hyperpage}{104}
\indexentry{CanComputeActionOnPoints@\texttt  {CanComputeActionOnPoints}|hyperpage}{104}
\indexentry{NiceMonomorphismByDomain@\texttt  {NiceMonomorphismByDomain}|hyperpage}{105}
\indexentry{NiceMonomorphismByOrbit@\texttt  {NiceMonomorphismByOrbit}|hyperpage}{105}
\indexentry{PolarityOfProjectiveSpace@\texttt  {PolarityOfProjectiveSpace}|hyperpage}{107}
\indexentry{PolarityOfProjectiveSpace@\texttt  {PolarityOfProjectiveSpace}|hyperpage}{107}
\indexentry{HermitianPolarityOfProjectiveSpace@\texttt  {HermitianPolarityOfProjectiveSpace}|hyperpage}{107}
\indexentry{PolarityOfProjectiveSpace@\texttt  {PolarityOfProjectiveSpace}|hyperpage}{107}
\indexentry{PolarityOfProjectiveSpace@\texttt  {PolarityOfProjectiveSpace}|hyperpage}{108}
\indexentry{SesquilinearForm@\texttt  {SesquilinearForm}|hyperpage}{108}
\indexentry{BaseField@\texttt  {BaseField}|hyperpage}{109}
\indexentry{GramMatrix@\texttt  {GramMatrix}|hyperpage}{109}
\indexentry{CompanionAutomorphism@\texttt  {CompanionAutomorphism}|hyperpage}{109}
\indexentry{IsHermitianPolarityOfProjectiveSpace@\texttt  {IsHermitian}\discretionary {-}{}{}\texttt  {Polarity}\discretionary {-}{}{}\texttt  {Of}\discretionary {-}{}{}\texttt  {Projective}\discretionary {-}{}{}\texttt  {Space}|hyperpage}{110}
\indexentry{IsSymplecticPolarityOfProjectiveSpace@\texttt  {IsSymplectic}\discretionary {-}{}{}\texttt  {Polarity}\discretionary {-}{}{}\texttt  {Of}\discretionary {-}{}{}\texttt  {Projective}\discretionary {-}{}{}\texttt  {Space}|hyperpage}{110}
\indexentry{IsOrthogonalPolarityOfProjectiveSpace@\texttt  {IsOrthogonal}\discretionary {-}{}{}\texttt  {Polarity}\discretionary {-}{}{}\texttt  {Of}\discretionary {-}{}{}\texttt  {Projective}\discretionary {-}{}{}\texttt  {Space}|hyperpage}{110}
\indexentry{IsPseudoPolarityOfProjectiveSpace@\texttt  {IsPseudoPolarityOfProjectiveSpace}|hyperpage}{111}
\indexentry{GeometryOfAbsolutePoints@\texttt  {GeometryOfAbsolutePoints}|hyperpage}{111}
\indexentry{AbsolutePoints@\texttt  {AbsolutePoints}|hyperpage}{112}
\indexentry{PolarSpace@\texttt  {PolarSpace}|hyperpage}{112}
\indexentry{IsClassicalPolarSpace@\texttt  {IsClassicalPolarSpace}|hyperpage}{114}
\indexentry{PolarSpace@\texttt  {PolarSpace}|hyperpage}{115}
\indexentry{PolarSpace@\texttt  {PolarSpace}|hyperpage}{115}
\indexentry{SymplecticSpace@\texttt  {SymplecticSpace}|hyperpage}{118}
\indexentry{SymplecticSpace@\texttt  {SymplecticSpace}|hyperpage}{118}
\indexentry{HermitianPolarSpace@\texttt  {HermitianPolarSpace}|hyperpage}{118}
\indexentry{HermitianPolarSpace@\texttt  {HermitianPolarSpace}|hyperpage}{118}
\indexentry{ParabolicQuadric@\texttt  {ParabolicQuadric}|hyperpage}{118}
\indexentry{ParabolicQuadric@\texttt  {ParabolicQuadric}|hyperpage}{118}
\indexentry{HyperbolicQuadric@\texttt  {HyperbolicQuadric}|hyperpage}{119}
\indexentry{HyperbolicQuadric@\texttt  {HyperbolicQuadric}|hyperpage}{119}
\indexentry{EllipticQuadric@\texttt  {EllipticQuadric}|hyperpage}{120}
\indexentry{EllipticQuadric@\texttt  {EllipticQuadric}|hyperpage}{120}
\indexentry{IsCanonicalPolarSpace@\texttt  {IsCanonicalPolarSpace}|hyperpage}{121}
\indexentry{CanonicalPolarSpace@\texttt  {CanonicalPolarSpace}|hyperpage}{122}
\indexentry{CanonicalPolarSpace@\texttt  {CanonicalPolarSpace}|hyperpage}{122}
\indexentry{StandardPolarSpace@\texttt  {StandardPolarSpace}|hyperpage}{122}
\indexentry{StandardPolarSpace@\texttt  {StandardPolarSpace}|hyperpage}{122}
\indexentry{UnderlyingVectorSpace@\texttt  {UnderlyingVectorSpace}|hyperpage}{122}
\indexentry{AmbientSpace@\texttt  {AmbientSpace}|hyperpage}{122}
\indexentry{ProjectiveDimension@\texttt  {ProjectiveDimension}|hyperpage}{123}
\indexentry{Dimension@\texttt  {Dimension}|hyperpage}{123}
\indexentry{Rank@\texttt  {Rank}|hyperpage}{123}
\indexentry{BaseField@\texttt  {BaseField}|hyperpage}{123}
\indexentry{IsHyperbolicQuadric@\texttt  {IsHyperbolicQuadric}|hyperpage}{124}
\indexentry{IsEllipticQuadric@\texttt  {IsEllipticQuadric}|hyperpage}{124}
\indexentry{IsParabolicQuadric@\texttt  {IsParabolicQuadric}|hyperpage}{125}
\indexentry{VectorSpaceToElement@\texttt  {VectorSpaceToElement}|hyperpage}{126}
\indexentry{EmptySubspace@\texttt  {EmptySubspace}|hyperpage}{126}
\indexentry{ProjectiveDimension@\texttt  {ProjectiveDimension}|hyperpage}{127}
\indexentry{Dimension@\texttt  {Dimension}|hyperpage}{127}
\indexentry{ElementsOfIncidenceStructure@\texttt  {ElementsOfIncidenceStructure}|hyperpage}{127}
\indexentry{AmbientSpace@\texttt  {AmbientSpace}|hyperpage}{127}
\indexentry{Coordinates@\texttt  {Coordinates}|hyperpage}{128}
\indexentry{IsIncident@\texttt  {IsIncident}|hyperpage}{128}
\indexentry{*@\texttt  {\texttt  {\char 92\relax }*}|hyperpage}{128}
\indexentry{in@\texttt  {\texttt  {\char 92\relax }in}|hyperpage}{128}
\indexentry{Span@\texttt  {Span}|hyperpage}{129}
\indexentry{Meet@\texttt  {Meet}|hyperpage}{129}
\indexentry{IsCollinear@\texttt  {IsCollinear}|hyperpage}{130}
\indexentry{PolarityOfProjectiveSpace@\texttt  {PolarityOfProjectiveSpace}|hyperpage}{131}
\indexentry{TypeOfSubspace@\texttt  {TypeOfSubspace}|hyperpage}{131}
\indexentry{TangentSpace@\texttt  {TangentSpace}|hyperpage}{132}
\indexentry{TangentSpace@\texttt  {TangentSpace}|hyperpage}{132}
\indexentry{Pole@\texttt  {Pole}|hyperpage}{133}
\indexentry{ShadowOfElement@\texttt  {ShadowOfElement}|hyperpage}{133}
\indexentry{ShadowOfElement@\texttt  {ShadowOfElement}|hyperpage}{133}
\indexentry{ElementsIncidentWithElementOfIncidenceStructure@\texttt  {Elements}\discretionary {-}{}{}\texttt  {Incident}\discretionary {-}{}{}\texttt  {With}\discretionary {-}{}{}\texttt  {Element}\discretionary {-}{}{}\texttt  {Of}\discretionary {-}{}{}\texttt  {Incidence}\discretionary {-}{}{}\texttt  {Structure}|hyperpage}{134}
\indexentry{Isometry|hyperpage}{134}
\indexentry{Similarity|hyperpage}{134}
\indexentry{Semi-similarity|hyperpage}{134}
\indexentry{Isometry|hyperpage}{134}
\indexentry{Similarity|hyperpage}{135}
\indexentry{Semi-similarity|hyperpage}{135}
\indexentry{SpecialIsometryGroup@\texttt  {SpecialIsometryGroup}|hyperpage}{135}
\indexentry{IsometryGroup@\texttt  {IsometryGroup}|hyperpage}{136}
\indexentry{SimilarityGroup@\texttt  {SimilarityGroup}|hyperpage}{136}
\indexentry{CollineationGroup@\texttt  {CollineationGroup}|hyperpage}{137}
\indexentry{Enumerator@\texttt  {Enumerator}|hyperpage}{138}
\indexentry{List@\texttt  {List}|hyperpage}{138}
\indexentry{Iterator@\texttt  {Iterator}|hyperpage}{138}
\indexentry{AsList@\texttt  {AsList}|hyperpage}{138}
\indexentry{FiningOrbit@\texttt  {FiningOrbit}|hyperpage}{140}
\indexentry{FiningOrbits@\texttt  {FiningOrbits}|hyperpage}{141}
\indexentry{FiningOrbits@\texttt  {FiningOrbits}|hyperpage}{141}
\indexentry{FiningStabiliser@\texttt  {FiningStabiliser}|hyperpage}{142}
\indexentry{FiningStabiliserOrb@\texttt  {FiningStabiliserOrb}|hyperpage}{143}
\indexentry{FiningSetwiseStabiliser@\texttt  {FiningSetwiseStabiliser}|hyperpage}{145}
\indexentry{OnProjSubspaces@\texttt  {OnProjSubspaces}|hyperpage}{146}
\indexentry{OnProjSubspacesExtended@\texttt  {OnProjSubspacesExtended}|hyperpage}{146}
\indexentry{OnSetsProjSubspaces@\texttt  {OnSetsProjSubspaces}|hyperpage}{147}
\indexentry{ActionHomomorphism@\texttt  {ActionHomomorphism}|hyperpage}{147}
\indexentry{Action@\texttt  {Action}|hyperpage}{147}
\indexentry{NiceMonomorphism@\texttt  {NiceMonomorphism}|hyperpage}{148}
\indexentry{NiceObject@\texttt  {NiceObject}|hyperpage}{148}
\indexentry{SetParent@\texttt  {SetParent}|hyperpage}{149}
\indexentry{IsAffineSpace@\texttt  {IsAffineSpace}|hyperpage}{151}
\indexentry{AffineSpace@\texttt  {AffineSpace}|hyperpage}{152}
\indexentry{AffineSpace@\texttt  {AffineSpace}|hyperpage}{152}
\indexentry{AG@\texttt  {AG}|hyperpage}{152}
\indexentry{AG@\texttt  {AG}|hyperpage}{152}
\indexentry{Dimension@\texttt  {Dimension}|hyperpage}{152}
\indexentry{Rank@\texttt  {Rank}|hyperpage}{152}
\indexentry{BaseField@\texttt  {BaseField}|hyperpage}{152}
\indexentry{UnderlyingVectorSpace@\texttt  {UnderlyingVectorSpace}|hyperpage}{152}
\indexentry{AmbientSpace@\texttt  {AmbientSpace}|hyperpage}{153}
\indexentry{AffineSubspace@\texttt  {AffineSubspace}|hyperpage}{153}
\indexentry{AffineSubspace@\texttt  {AffineSubspace}|hyperpage}{153}
\indexentry{ElementsOfIncidenceStructure@\texttt  {ElementsOfIncidenceStructure}|hyperpage}{154}
\indexentry{Points@\texttt  {Points}|hyperpage}{154}
\indexentry{Lines@\texttt  {Lines}|hyperpage}{154}
\indexentry{Planes@\texttt  {Planes}|hyperpage}{154}
\indexentry{Solids@\texttt  {Solids}|hyperpage}{154}
\indexentry{Hyperplanes@\texttt  {Hyperplanes}|hyperpage}{154}
\indexentry{IsIncident@\texttt  {IsIncident}|hyperpage}{155}
\indexentry{*@\texttt  {\texttt  {\char 92\relax }*}|hyperpage}{155}
\indexentry{in@\texttt  {\texttt  {\char 92\relax }in}|hyperpage}{155}
\indexentry{AmbientSpace@\texttt  {AmbientSpace}|hyperpage}{156}
\indexentry{BaseField@\texttt  {BaseField}|hyperpage}{156}
\indexentry{Span@\texttt  {Span}|hyperpage}{156}
\indexentry{Meet@\texttt  {Meet}|hyperpage}{157}
\indexentry{IsParallel@\texttt  {IsParallel}|hyperpage}{157}
\indexentry{ParallelClass@\texttt  {ParallelClass}|hyperpage}{158}
\indexentry{ParallelClass@\texttt  {ParallelClass}|hyperpage}{158}
\indexentry{ShadowOfElement@\texttt  {ShadowOfElement}|hyperpage}{158}
\indexentry{ShadowOfFlag@\texttt  {ShadowOfFlag}|hyperpage}{159}
\indexentry{Iterator@\texttt  {Iterator}|hyperpage}{159}
\indexentry{Enumerator@\texttt  {Enumerator}|hyperpage}{160}
\indexentry{AffineGroup@\texttt  {AffineGroup}|hyperpage}{161}
\indexentry{CollineationGroup@\texttt  {CollineationGroup}|hyperpage}{162}
\indexentry{OnAffineSpaces@\texttt  {OnAffineSpaces}|hyperpage}{162}
\indexentry{^@\texttt  {\texttt  {\char 92\relax }\texttt  {\char 94\relax }}|hyperpage}{162}
\indexentry{IsVectorSpaceTransversal@\texttt  {IsVectorSpaceTransversal}|hyperpage}{163}
\indexentry{VectorSpaceTransversal@\texttt  {VectorSpaceTransversal}|hyperpage}{163}
\indexentry{VectorSpaceTransversalElement@\texttt  {VectorSpaceTransversalElement}|hyperpage}{163}
\indexentry{ComplementSpace@\texttt  {ComplementSpace}|hyperpage}{163}
\indexentry{IsGeometryMorphism@\texttt  {IsGeometryMorphism}|hyperpage}{164}
\indexentry{Intertwiner@\texttt  {Intertwiner}|hyperpage}{165}
\indexentry{IsomorphismPolarSpaces@\texttt  {IsomorphismPolarSpaces}|hyperpage}{166}
\indexentry{IsomorphismPolarSpaces@\texttt  {IsomorphismPolarSpaces}|hyperpage}{166}
\indexentry{PluckerCoordinates@\texttt  {PluckerCoordinates}|hyperpage}{167}
\indexentry{KleinCorrespondence@\texttt  {KleinCorrespondence}|hyperpage}{168}
\indexentry{KleinCorrespondence@\texttt  {KleinCorrespondence}|hyperpage}{168}
\indexentry{KleinCorrespondence@\texttt  {KleinCorrespondence}|hyperpage}{168}
\indexentry{KleinCorrespondence@\texttt  {KleinCorrespondence}|hyperpage}{168}
\indexentry{KleinCorrespondence@\texttt  {KleinCorrespondence}|hyperpage}{169}
\indexentry{KleinCorrespondence@\texttt  {KleinCorrespondence}|hyperpage}{169}
\indexentry{KleinCorrespondenceExtended@\texttt  {KleinCorrespondenceExtended}|hyperpage}{169}
\indexentry{KleinCorrespondenceExtended@\texttt  {KleinCorrespondenceExtended}|hyperpage}{169}
\indexentry{NaturalDuality@\texttt  {NaturalDuality}|hyperpage}{170}
\indexentry{NaturalDuality@\texttt  {NaturalDuality}|hyperpage}{170}
\indexentry{NaturalDuality@\texttt  {NaturalDuality}|hyperpage}{170}
\indexentry{NaturalDuality@\texttt  {NaturalDuality}|hyperpage}{170}
\indexentry{SelfDuality@\texttt  {SelfDuality}|hyperpage}{171}
\indexentry{SelfDuality@\texttt  {SelfDuality}|hyperpage}{171}
\indexentry{NaturalEmbeddingBySubspace@\texttt  {NaturalEmbeddingBySubspace}|hyperpage}{172}
\indexentry{NaturalEmbeddingBySubField@\texttt  {NaturalEmbeddingBySubField}|hyperpage}{173}
\indexentry{NaturalEmbeddingBySubField@\texttt  {NaturalEmbeddingBySubField}|hyperpage}{173}
\indexentry{BlownUpSubspaceOfProjectiveSpace@\texttt  {BlownUpSubspaceOfProjectiveSpace}|hyperpage}{174}
\indexentry{NaturalEmbeddingByFieldReduction@\texttt  {NaturalEmbeddingByFieldReduction}|hyperpage}{175}
\indexentry{NaturalEmbeddingByFieldReduction@\texttt  {NaturalEmbeddingByFieldReduction}|hyperpage}{175}
\indexentry{NaturalEmbeddingByFieldReduction@\texttt  {NaturalEmbeddingByFieldReduction}|hyperpage}{175}
\indexentry{NaturalEmbeddingByFieldReduction@\texttt  {NaturalEmbeddingByFieldReduction}|hyperpage}{175}
\indexentry{NaturalEmbeddingBySubspace@\texttt  {NaturalEmbeddingBySubspace}|hyperpage}{176}
\indexentry{NaturalEmbeddingBySubField@\texttt  {NaturalEmbeddingBySubField}|hyperpage}{178}
\indexentry{NaturalEmbeddingBySubField@\texttt  {NaturalEmbeddingBySubField}|hyperpage}{178}
\indexentry{NaturalEmbeddingByFieldReduction@\texttt  {NaturalEmbeddingByFieldReduction}|hyperpage}{179}
\indexentry{NaturalEmbeddingByFieldReduction@\texttt  {NaturalEmbeddingByFieldReduction}|hyperpage}{179}
\indexentry{NaturalEmbeddingByFieldReduction@\texttt  {NaturalEmbeddingByFieldReduction}|hyperpage}{179}
\indexentry{NaturalEmbeddingByFieldReduction@\texttt  {NaturalEmbeddingByFieldReduction}|hyperpage}{179}
\indexentry{NaturalEmbeddingByFieldReduction@\texttt  {NaturalEmbeddingByFieldReduction}|hyperpage}{180}
\indexentry{NaturalEmbeddingByFieldReduction@\texttt  {NaturalEmbeddingByFieldReduction}|hyperpage}{180}
\indexentry{NaturalEmbeddingByFieldReduction@\texttt  {NaturalEmbeddingByFieldReduction}|hyperpage}{181}
\indexentry{NaturalEmbeddingByFieldReduction@\texttt  {NaturalEmbeddingByFieldReduction}|hyperpage}{181}
\indexentry{NaturalProjectionBySubspace@\texttt  {NaturalProjectionBySubspace}|hyperpage}{183}
\indexentry{ProjectiveCompletion@\texttt  {ProjectiveCompletion}|hyperpage}{183}
\indexentry{AlgebraicVariety@\texttt  {AlgebraicVariety}|hyperpage}{185}
\indexentry{AlgebraicVariety@\texttt  {AlgebraicVariety}|hyperpage}{185}
\indexentry{DefiningListOfPolynomials@\texttt  {DefiningListOfPolynomials}|hyperpage}{186}
\indexentry{AmbientSpace@\texttt  {AmbientSpace}|hyperpage}{186}
\indexentry{PointsOfAlgebraicVariety@\texttt  {PointsOfAlgebraicVariety}|hyperpage}{186}
\indexentry{Points@\texttt  {Points}|hyperpage}{186}
\indexentry{Iterator@\texttt  {Iterator}|hyperpage}{187}
\indexentry{in@\texttt  {\texttt  {\char 92\relax }in}|hyperpage}{187}
\indexentry{in@\texttt  {\texttt  {\char 92\relax }in}|hyperpage}{187}
\indexentry{ProjectiveVariety@\texttt  {ProjectiveVariety}|hyperpage}{187}
\indexentry{ProjectiveVariety@\texttt  {ProjectiveVariety}|hyperpage}{187}
\indexentry{AlgebraicVariety@\texttt  {AlgebraicVariety}|hyperpage}{187}
\indexentry{AlgebraicVariety@\texttt  {AlgebraicVariety}|hyperpage}{187}
\indexentry{HermitianVariety@\texttt  {HermitianVariety}|hyperpage}{188}
\indexentry{HermitianVariety@\texttt  {HermitianVariety}|hyperpage}{188}
\indexentry{HermitianVariety@\texttt  {HermitianVariety}|hyperpage}{188}
\indexentry{HermitianVariety@\texttt  {HermitianVariety}|hyperpage}{188}
\indexentry{QuadraticVariety@\texttt  {QuadraticVariety}|hyperpage}{189}
\indexentry{QuadraticVariety@\texttt  {QuadraticVariety}|hyperpage}{189}
\indexentry{QuadraticVariety@\texttt  {QuadraticVariety}|hyperpage}{189}
\indexentry{QuadraticVariety@\texttt  {QuadraticVariety}|hyperpage}{189}
\indexentry{QuadraticVariety@\texttt  {QuadraticVariety}|hyperpage}{189}
\indexentry{QuadraticVariety@\texttt  {QuadraticVariety}|hyperpage}{189}
\indexentry{QuadraticForm@\texttt  {QuadraticForm}|hyperpage}{190}
\indexentry{SesquilinearForm@\texttt  {SesquilinearForm}|hyperpage}{190}
\indexentry{PolarSpace@\texttt  {PolarSpace}|hyperpage}{191}
\indexentry{AffineVariety@\texttt  {AffineVariety}|hyperpage}{192}
\indexentry{AffineVariety@\texttt  {AffineVariety}|hyperpage}{192}
\indexentry{AlgebraicVariety@\texttt  {AlgebraicVariety}|hyperpage}{192}
\indexentry{AlgebraicVariety@\texttt  {AlgebraicVariety}|hyperpage}{192}
\indexentry{Source@\texttt  {Source}|hyperpage}{192}
\indexentry{Range@\texttt  {Range}|hyperpage}{192}
\indexentry{ImageElm@\texttt  {ImageElm}|hyperpage}{192}
\indexentry{ImagesSet@\texttt  {ImagesSet}|hyperpage}{192}
\indexentry{^@\texttt  {\texttt  {\char 92\relax }\texttt  {\char 94\relax }}|hyperpage}{192}
\indexentry{SegreVariety@\texttt  {SegreVariety}|hyperpage}{193}
\indexentry{SegreVariety@\texttt  {SegreVariety}|hyperpage}{193}
\indexentry{SegreVariety@\texttt  {SegreVariety}|hyperpage}{193}
\indexentry{SegreVariety@\texttt  {SegreVariety}|hyperpage}{193}
\indexentry{SegreVariety@\texttt  {SegreVariety}|hyperpage}{193}
\indexentry{PointsOfSegreVariety@\texttt  {PointsOfSegreVariety}|hyperpage}{193}
\indexentry{Points@\texttt  {Points}|hyperpage}{193}
\indexentry{SegreMap@\texttt  {SegreMap}|hyperpage}{193}
\indexentry{SegreMap@\texttt  {SegreMap}|hyperpage}{193}
\indexentry{SegreMap@\texttt  {SegreMap}|hyperpage}{193}
\indexentry{SegreMap@\texttt  {SegreMap}|hyperpage}{193}
\indexentry{SegreMap@\texttt  {SegreMap}|hyperpage}{193}
\indexentry{SegreMap@\texttt  {SegreMap}|hyperpage}{193}
\indexentry{Source@\texttt  {Source}|hyperpage}{194}
\indexentry{VeroneseVariety@\texttt  {VeroneseVariety}|hyperpage}{194}
\indexentry{VeroneseVariety@\texttt  {VeroneseVariety}|hyperpage}{194}
\indexentry{VeroneseVariety@\texttt  {VeroneseVariety}|hyperpage}{194}
\indexentry{PointsOfVeroneseVariety@\texttt  {PointsOfVeroneseVariety}|hyperpage}{195}
\indexentry{Points@\texttt  {Points}|hyperpage}{195}
\indexentry{VeroneseMap@\texttt  {VeroneseMap}|hyperpage}{195}
\indexentry{VeroneseMap@\texttt  {VeroneseMap}|hyperpage}{195}
\indexentry{VeroneseMap@\texttt  {VeroneseMap}|hyperpage}{195}
\indexentry{VeroneseMap@\texttt  {VeroneseMap}|hyperpage}{195}
\indexentry{Source@\texttt  {Source}|hyperpage}{195}
\indexentry{GrassmannVariety@\texttt  {GrassmannVariety}|hyperpage}{196}
\indexentry{GrassmannVariety@\texttt  {GrassmannVariety}|hyperpage}{196}
\indexentry{GrassmannVariety@\texttt  {GrassmannVariety}|hyperpage}{196}
\indexentry{PointsOfGrassmannVariety@\texttt  {PointsOfGrassmannVariety}|hyperpage}{196}
\indexentry{Points@\texttt  {Points}|hyperpage}{196}
\indexentry{GrassmannMap@\texttt  {GrassmannMap}|hyperpage}{196}
\indexentry{GrassmannMap@\texttt  {GrassmannMap}|hyperpage}{196}
\indexentry{GrassmannMap@\texttt  {GrassmannMap}|hyperpage}{196}
\indexentry{GrassmannMap@\texttt  {GrassmannMap}|hyperpage}{196}
\indexentry{Source@\texttt  {Source}|hyperpage}{197}
\indexentry{IsGeneralisedPolygon@\texttt  {IsGeneralisedPolygon}|hyperpage}{198}
\indexentry{IsGeneralisedPolygonRep@\texttt  {IsGeneralisedPolygonRep}|hyperpage}{198}
\indexentry{IsProjectivePlaneCategory@\texttt  {IsProjectivePlaneCategory}|hyperpage}{198}
\indexentry{IsGeneralisedQuadrangle@\texttt  {IsGeneralisedQuadrangle}|hyperpage}{198}
\indexentry{IsGeneralisedHexagon@\texttt  {IsGeneralisedHexagon}|hyperpage}{198}
\indexentry{IsGeneralisedOctagon@\texttt  {IsGeneralisedOctagon}|hyperpage}{198}
\indexentry{IsWeakGeneralisedPolygon@\texttt  {IsWeakGeneralisedPolygon}|hyperpage}{199}
\indexentry{IsDesarguesianPlane@\texttt  {IsDesarguesianPlane}|hyperpage}{199}
\indexentry{IsClassicalGQ@\texttt  {IsClassicalGQ}|hyperpage}{199}
\indexentry{IsElationGQ@\texttt  {IsElationGQ}|hyperpage}{199}
\indexentry{IsClassicalGeneralisedHexagon@\texttt  {IsClassicalGeneralisedHexagon}|hyperpage}{199}
\indexentry{GeneralisedPolygonByBlocks@\texttt  {GeneralisedPolygonByBlocks}|hyperpage}{200}
\indexentry{GeneralisedPolygonByIncidenceMatrix@\texttt  {GeneralisedPolygonByIncidenceMatrix}|hyperpage}{200}
\indexentry{GeneralisedPolygonByElements@\texttt  {GeneralisedPolygonByElements}|hyperpage}{201}
\indexentry{GeneralisedPolygonByElements@\texttt  {GeneralisedPolygonByElements}|hyperpage}{201}
\indexentry{Order@\texttt  {Order}|hyperpage}{203}
\indexentry{IncidenceGraphAttr@\texttt  {IncidenceGraphAttr}|hyperpage}{203}
\indexentry{IncidenceGraph@\texttt  {IncidenceGraph}|hyperpage}{203}
\indexentry{IncidenceMatrixOfGeneralisedPolygon@\texttt  {IncidenceMatrixOfGeneralisedPolygon}|hyperpage}{205}
\indexentry{CollineationGroup@\texttt  {CollineationGroup}|hyperpage}{205}
\indexentry{CollineationAction@\texttt  {CollineationAction}|hyperpage}{209}
\indexentry{BlockDesignOfGeneralisedPolygon@\texttt  {BlockDesignOfGeneralisedPolygon}|hyperpage}{210}
\indexentry{ElementsOfIncidencStructure@\texttt  {ElementsOfIncidencStructure}|hyperpage}{212}
\indexentry{Points@\texttt  {Points}|hyperpage}{212}
\indexentry{Lines@\texttt  {Lines}|hyperpage}{212}
\indexentry{Size@\texttt  {Size}|hyperpage}{212}
\indexentry{ObjectToElement@\texttt  {ObjectToElement}|hyperpage}{212}
\indexentry{ObjectToElement@\texttt  {ObjectToElement}|hyperpage}{212}
\indexentry{UnderlyingObject@\texttt  {UnderlyingObject}|hyperpage}{212}
\indexentry{IsIncident@\texttt  {IsIncident}|hyperpage}{213}
\indexentry{*@\texttt  {\texttt  {\char 92\relax }*}|hyperpage}{213}
\indexentry{Span@\texttt  {Span}|hyperpage}{214}
\indexentry{Meet@\texttt  {Meet}|hyperpage}{214}
\indexentry{ShadowOfElement@\texttt  {ShadowOfElement}|hyperpage}{215}
\indexentry{Points@\texttt  {Points}|hyperpage}{215}
\indexentry{Lines@\texttt  {Lines}|hyperpage}{215}
\indexentry{ElementsIncidentWithElementOfIncidenceStructure@\texttt  {Elements}\discretionary {-}{}{}\texttt  {Incident}\discretionary {-}{}{}\texttt  {With}\discretionary {-}{}{}\texttt  {Element}\discretionary {-}{}{}\texttt  {Of}\discretionary {-}{}{}\texttt  {Incidence}\discretionary {-}{}{}\texttt  {Structure}|hyperpage}{215}
\indexentry{DistanceBetweenElements@\texttt  {DistanceBetweenElements}|hyperpage}{216}
\indexentry{IsLieGeometry@\texttt  {IsLieGeometry}|hyperpage}{218}
\indexentry{SplitCayleyHexagon@\texttt  {SplitCayleyHexagon}|hyperpage}{218}
\indexentry{SplitCayleyHexagon@\texttt  {SplitCayleyHexagon}|hyperpage}{218}
\indexentry{SplitCayleyHexagon@\texttt  {SplitCayleyHexagon}|hyperpage}{218}
\indexentry{TwistedTrialityHexagon@\texttt  {TwistedTrialityHexagon}|hyperpage}{219}
\indexentry{TwistedTrialityHexagon@\texttt  {TwistedTrialityHexagon}|hyperpage}{219}
\indexentry{TwistedTrialityHexagon@\texttt  {TwistedTrialityHexagon}|hyperpage}{219}
\indexentry{VectorSpaceToElement@\texttt  {VectorSpaceToElement}|hyperpage}{219}
\indexentry{ObjectToElement@\texttt  {ObjectToElement}|hyperpage}{220}
\indexentry{UnderlyingObject@\texttt  {UnderlyingObject}|hyperpage}{220}
\indexentry{in@\texttt  {\texttt  {\char 92\relax }in}|hyperpage}{221}
\indexentry{Span@\texttt  {Span}|hyperpage}{221}
\indexentry{Meet@\texttt  {Meet}|hyperpage}{221}
\indexentry{CollineationGroup@\texttt  {CollineationGroup}|hyperpage}{222}
\indexentry{IsEGQByKantorFamily@\texttt  {IsEGQByKantorFamily}|hyperpage}{223}
\indexentry{IsElementOfKantorFamily@\texttt  {IsElementOfKantorFamily}|hyperpage}{223}
\indexentry{IsKantorFamily@\texttt  {IsKantorFamily}|hyperpage}{224}
\indexentry{EGQByKantorFamily@\texttt  {EGQByKantorFamily}|hyperpage}{224}
\indexentry{ObjectToElement@\texttt  {ObjectToElement}|hyperpage}{224}
\indexentry{ObjectToElement@\texttt  {ObjectToElement}|hyperpage}{224}
\indexentry{BasePointOfEGQ@\texttt  {BasePointOfEGQ}|hyperpage}{224}
\indexentry{UnderlyingObject@\texttt  {UnderlyingObject}|hyperpage}{224}
\indexentry{ElationGroup@\texttt  {ElationGroup}|hyperpage}{226}
\indexentry{OnKantorFamily@\texttt  {OnKantorFamily}|hyperpage}{226}
\indexentry{CollineationAction@\texttt  {CollineationAction}|hyperpage}{226}
\indexentry{qClan@\texttt  {qClan}|hyperpage}{230}
\indexentry{LinearqClan@\texttt  {LinearqClan}|hyperpage}{230}
\indexentry{FisherThasWalkerKantorBettenqClan@\texttt  {FisherThasWalkerKantorBettenqClan}|hyperpage}{230}
\indexentry{KantorMonomialqClan@\texttt  {KantorMonomialqClan}|hyperpage}{230}
\indexentry{KantorKnuthqClan@\texttt  {KantorKnuthqClan}|hyperpage}{230}
\indexentry{FisherqClan@\texttt  {FisherqClan}|hyperpage}{230}
\indexentry{KantorFamilyByqClan@\texttt  {KantorFamilyByqClan}|hyperpage}{230}
\indexentry{EGQByqClan@\texttt  {EGQByqClan}|hyperpage}{230}
\indexentry{IsEGQByBLTSet@\texttt  {IsEGQByBLTSet}|hyperpage}{232}
\indexentry{BLTSetByqClan@\texttt  {BLTSetByqClan}|hyperpage}{232}
\indexentry{EGQByBLTSet@\texttt  {EGQByBLTSet}|hyperpage}{232}
\indexentry{DefiningPlanesOfEGQByBLTSet@\texttt  {DefiningPlanesOfEGQByBLTSet}|hyperpage}{233}
\indexentry{ObjectToElement@\texttt  {ObjectToElement}|hyperpage}{234}
\indexentry{ObjectToElement@\texttt  {ObjectToElement}|hyperpage}{234}
\indexentry{UnderlyingObject@\texttt  {UnderlyingObject}|hyperpage}{234}
\indexentry{CollineationSubgroup@\texttt  {CollineationSubgroup}|hyperpage}{235}
\indexentry{IsCosetGeometry@\texttt  {IsCosetGeometry}|hyperpage}{237}
\indexentry{CosetGeometry@\texttt  {CosetGeometry}|hyperpage}{237}
\indexentry{IsIncident@\texttt  {IsIncident}|hyperpage}{238}
\indexentry{ParabolicSubgroups@\texttt  {ParabolicSubgroups}|hyperpage}{238}
\indexentry{AmbientGroup@\texttt  {AmbientGroup}|hyperpage}{238}
\indexentry{Borelsubgroup@\texttt  {Borelsubgroup}|hyperpage}{238}
\indexentry{RandomElement@\texttt  {RandomElement}|hyperpage}{239}
\indexentry{RandomFlag@\texttt  {RandomFlag}|hyperpage}{239}
\indexentry{RandomChamber@\texttt  {RandomChamber}|hyperpage}{239}
\indexentry{IsFlagTransitiveGeometry@\texttt  {IsFlagTransitiveGeometry}|hyperpage}{240}
\indexentry{OnCosetGeometryElement@\texttt  {OnCosetGeometryElement}|hyperpage}{240}
\indexentry{^@\texttt  {\texttt  {\char 92\relax }\texttt  {\char 94\relax }}|hyperpage}{241}
\indexentry{^@\texttt  {\texttt  {\char 92\relax }\texttt  {\char 94\relax }}|hyperpage}{241}
\indexentry{IsFirmGeometry@\texttt  {IsFirmGeometry}|hyperpage}{241}
\indexentry{IsThickGeometry@\texttt  {IsThickGeometry}|hyperpage}{241}
\indexentry{IsThinGeometry@\texttt  {IsThinGeometry}|hyperpage}{241}
\indexentry{IsConnected@\texttt  {IsConnected}|hyperpage}{242}
\indexentry{IsResiduallyConnected@\texttt  {IsResiduallyConnected}|hyperpage}{242}
\indexentry{StandardFlagOfCosetGeometry@\texttt  {StandardFlagOfCosetGeometry}|hyperpage}{244}
\indexentry{FlagToStandardFlag@\texttt  {FlagToStandardFlag}|hyperpage}{244}
\indexentry{CanonicalResidueOfFlag@\texttt  {CanonicalResidueOfFlag}|hyperpage}{244}
\indexentry{ResidueOfFlag@\texttt  {ResidueOfFlag}|hyperpage}{245}
\indexentry{IncidenceGraph@\texttt  {IncidenceGraph}|hyperpage}{248}
\indexentry{Rk2GeoGonality@\texttt  {Rk2GeoGonality}|hyperpage}{248}
\indexentry{Rk2GeoDiameter@\texttt  {Rk2GeoDiameter}|hyperpage}{248}
\indexentry{GeometryOfRank2Residue@\texttt  {GeometryOfRank2Residue}|hyperpage}{248}
\indexentry{Rank2Parameters@\texttt  {Rank2Parameters}|hyperpage}{249}
\indexentry{AutGroupIncidenceStructureWithNauty@\texttt  {AutGroupIncidenceStructureWithNauty}|hyperpage}{249}
\indexentry{CorGroupIncidenceStructureWithNauty@\texttt  {CorGroupIncidenceStructureWithNauty}|hyperpage}{250}
\indexentry{IsIsomorphicIncidenceStructureWithNauty@\texttt  {IsIsomorphic}\discretionary {-}{}{}\texttt  {Incidence}\discretionary {-}{}{}\texttt  {Structure}\discretionary {-}{}{}\texttt  {With}\discretionary {-}{}{}\texttt  {Nauty}|hyperpage}{251}
\indexentry{DiagramOfGeometry@\texttt  {DiagramOfGeometry}|hyperpage}{252}
\indexentry{GeometryOfDiagram@\texttt  {GeometryOfDiagram}|hyperpage}{252}
\indexentry{DrawDiagram@\texttt  {DrawDiagram}|hyperpage}{252}
\indexentry{DrawDiagram@\texttt  {DrawDiagram}|hyperpage}{252}
\indexentry{DrawDiagram@\texttt  {DrawDiagram}|hyperpage}{252}
\indexentry{DrawDiagramWithNeato@\texttt  {DrawDiagramWithNeato}|hyperpage}{256}
\indexentry{CanonicalGramMatrix@\texttt  {CanonicalGramMatrix}|hyperpage}{294}
\indexentry{CanonicalQuadraticForm@\texttt  {CanonicalQuadraticForm}|hyperpage}{295}
\indexentry{SOdesargues@\texttt  {SOdesargues}|hyperpage}{296}
\indexentry{GOdesargues@\texttt  {GOdesargues}|hyperpage}{296}
\indexentry{SUdesargues@\texttt  {SUdesargues}|hyperpage}{296}
\indexentry{GUdesargues@\texttt  {GUdesargues}|hyperpage}{297}
\indexentry{Spdesargues@\texttt  {Spdesargues}|hyperpage}{297}
\indexentry{GeneralSymplecticGroup@\texttt  {GeneralSymplecticGroup}|hyperpage}{297}
\indexentry{GSpdesargues@\texttt  {GSpdesargues}|hyperpage}{297}
\indexentry{GammaSp@\texttt  {GammaSp}|hyperpage}{298}
\indexentry{DeltaOminus@\texttt  {DeltaOminus}|hyperpage}{298}
\indexentry{DeltaOplus@\texttt  {DeltaOplus}|hyperpage}{298}
\indexentry{GammaOminus@\texttt  {GammaOminus}|hyperpage}{298}
\indexentry{GammaO@\texttt  {GammaO}|hyperpage}{299}
\indexentry{GammaOplus@\texttt  {GammaOplus}|hyperpage}{299}
\indexentry{GammaU@\texttt  {GammaU}|hyperpage}{299}
\indexentry{G2fining@\texttt  {G2fining}|hyperpage}{299}
\indexentry{3D4fining@\texttt  {3D4fining}|hyperpage}{300}
\indexentry{FindBasePointCandidates@\texttt  {FindBasePointCandidates}|hyperpage}{300}
\indexentry{ShrinkVec@\texttt  {ShrinkVec}|hyperpage}{301}
\indexentry{ShrinkVec@\texttt  {ShrinkVec}|hyperpage}{301}
\indexentry{ShrinkMat@\texttt  {ShrinkMat}|hyperpage}{301}
\indexentry{ShrinkMat@\texttt  {ShrinkMat}|hyperpage}{301}
\indexentry{BlownUpProjectiveSpace@\texttt  {BlownUpProjectiveSpace}|hyperpage}{301}
\indexentry{BlownUpProjectiveSpaceBySubfield@\texttt  {BlownUpProjectiveSpaceBySubfield}|hyperpage}{302}
\indexentry{BlownUpSubspaceOfProjectiveSpace@\texttt  {BlownUpSubspaceOfProjectiveSpace}|hyperpage}{302}
\indexentry{BlownUpSubspaceOfProjectiveSpace@\texttt  {BlownUpSubspaceOfProjectiveSpace}|hyperpage}{302}
\indexentry{BlownUpSubspaceOfProjectiveSpaceBySubfield@\texttt  {Blown}\discretionary {-}{}{}\texttt  {Up}\discretionary {-}{}{}\texttt  {Subspace}\discretionary {-}{}{}\texttt  {Of}\discretionary {-}{}{}\texttt  {Projective}\discretionary {-}{}{}\texttt  {Space}\discretionary {-}{}{}\texttt  {By}\discretionary {-}{}{}\texttt  {Subfield}|hyperpage}{302}
\indexentry{IsDesarguesianSpreadElement@\texttt  {IsDesarguesianSpreadElement}|hyperpage}{302}
\indexentry{QuadraticFormFieldReduction@\texttt  {QuadraticFormFieldReduction}|hyperpage}{302}
\indexentry{QuadraticFormFieldReduction@\texttt  {QuadraticFormFieldReduction}|hyperpage}{302}
\indexentry{BilinearFormFieldReduction@\texttt  {BilinearFormFieldReduction}|hyperpage}{303}
\indexentry{BilinearFormFieldReduction@\texttt  {BilinearFormFieldReduction}|hyperpage}{303}
\indexentry{HermitianFormFieldReduction@\texttt  {HermitianFormFieldReduction}|hyperpage}{303}
\indexentry{HermitianFormFieldReduction@\texttt  {HermitianFormFieldReduction}|hyperpage}{303}
\indexentry{PluckerCoordinates@\texttt  {PluckerCoordinates}|hyperpage}{303}
\indexentry{InversePluckerCoordinates@\texttt  {InversePluckerCoordinates}|hyperpage}{303}
\indexentry{IsomorphismPolarSpacesProjectionFromNucleus@\texttt  {Isomorphism}\discretionary {-}{}{}\texttt  {Polar}\discretionary {-}{}{}\texttt  {Spaces}\discretionary {-}{}{}\texttt  {Projection}\discretionary {-}{}{}\texttt  {From}\discretionary {-}{}{}\texttt  {Nucleus}|hyperpage}{303}
\indexentry{IsomorphismPolarSpacesNC@\texttt  {IsomorphismPolarSpacesNC}|hyperpage}{303}
\indexentry{IsomorphismPolarSpacesNC@\texttt  {IsomorphismPolarSpacesNC}|hyperpage}{303}
\indexentry{NaturalEmbeddingBySubspaceNC@\texttt  {NaturalEmbeddingBySubspaceNC}|hyperpage}{304}
\indexentry{NaturalProjectionBySubspaceNC@\texttt  {NaturalProjectionBySubspaceNC}|hyperpage}{304}
