\indexentry {copyright}{3}
\indexentry {IRREDSOL}{4}
\indexentry {structure of IRREDSOL}{4}
\indexentry {IRREDSOL!database design}{5}
\indexentry {IRREDSOL!accessing low level data}{6}
\indexentry {IsAvailableIrreducibleSolubleGroupData@`IsAvailableIrreducibleSoluble\discretionary {\char 92}{}{}GroupData'}{6}
\indexentry {IsAvailableIrreducibleSolvableGroupData@`IsAvailableIrreducibleSolvable\discretionary {\char 92}{}{}GroupData'}{6}
\indexentry {IndicesIrreducibleSolubleMatrixGroups@`Indices\discretionary {\char 92}{}{}Irreducible\discretionary {\char 92}{}{}Soluble\discretionary {\char 92}{}{}Matrix\discretionary {\char 92}{}{}Groups'}{6}
\indexentry {IndicesIrreducibleSolvableMatrixGroups@`Indices\discretionary {\char 92}{}{}Irreducible\discretionary {\char 92}{}{}Solvable\discretionary {\char 92}{}{}Matrix\discretionary {\char 92}{}{}Groups'}{6}
\indexentry {IrreducibleSolubleMatrixGroup@`Irreducible\discretionary {\char 92}{}{}Soluble\discretionary {\char 92}{}{}MatrixGroup'}{6}
\indexentry {IrreducibleSolvableMatrixGroup@`Irreducible\discretionary {\char 92}{}{}Solvable\discretionary {\char 92}{}{}MatrixGroup'}{6}
\indexentry {IsAvailableAbsolutelyIrreducibleSolubleGroupData@`IsAvailableAbsolutelyIrreducibleSoluble\discretionary {\char 92}{}{}GroupData'}{6}
\indexentry {IsAvailableAbsolutelyIrreducibleSolvableGroupData@`IsAvailableAbsolutelyIrreducibleolvable\discretionary {\char 92}{}{}GroupData'}{6}
\indexentry {IndicesMaximalAbsolutelyIrreducibleSolubleMatrixGroups@`IndicesMaximalAbsolutelyIrreducible\discretionary {\char 92}{}{}Soluble\discretionary {\char 92}{}{}MatrixGroups'}{6}
\indexentry {IndicesMaximalAbsolutelyIrreducibleSolvableMatrixGroups@`IndicesMaximalAbsolutelyIrreducible\discretionary {\char 92}{}{}Solvable\discretionary {\char 92}{}{}MatrixGroups'}{6}
\indexentry {IndicesAbsolutelyIrreducibleSolubleMatrixGroups@`IndicesAbsolutelyIrreducible\discretionary {\char 92}{}{}Soluble\discretionary {\char 92}{}{}MatrixGroups'}{6}
\indexentry {AbsolutelyIrreducibleSolubleMatrixGroup@`AbsolutelyIrreducibleSolubleMatrixGroup'}{6}
\indexentry {find!matrix group}{7}
\indexentry {matrix group!with given properties}{7}
\indexentry {AllIrreducibleSolubleMatrixGroups@`AllIrreducibleSolubleMatrixGroups'}{7}
\indexentry {AllIrreducibleSolvableMatrixGroups@`AllIrreducibleSolvableMatrixGroups'}{7}
\indexentry {AllIrredSolMatGroups@`AllIrredSolMatGroups'}{7}
\indexentry {OneIrreducibleSolubleMatrixGroup@`OneIrreducibleSolubleMatrixGroup'}{8}
\indexentry {OneIrreducibleSolvableMatrixGroup@`OneIrreducibleSolvableMatrixGroup'}{8}
\indexentry {OneIrredSolMatGroup@`OneIrredSolMatGroup'}{8}
\indexentry {IteratorIrreducibleSolubleMatrixGroups@`IteratorIrreducibleSolubleMatrixGroups'}{8}
\indexentry {IteratorIrreducibleSolvableMatrixGroups@`IteratorIrreducibleSolvableMatrixGroups'}{8}
\indexentry {IteratorIrredSolMatGroups@`IteratorIrredSolMatGroups'}{8}
\indexentry {loading!of group data}{9}
\indexentry {unloading!of group data}{9}
\indexentry {workspace!running out of}{9}
\indexentry {LoadAbsolutelyIrreducibleSolubleGroupData@`LoadAbsolutelyIrreducibleSolubleGroupData'}{9}
\indexentry {LoadAbsolutelyIrreducibleSolvableGroupData@`LoadAbsolutelyIrreducibleSolvableGroupData'}{9}
\indexentry {LoadAbsoIrredSolGroupData@`LoadAbsoIrredSolGroupData'}{9}
\indexentry {LoadedAbsolutelyIrreducibleSolubleGroupData@`LoadedAbsolutelyIrreducibleSoluble\discretionary {\char 92}{}{}GroupData'}{9}
\indexentry {LoadedAbsolutelyIrreducibleSolvableGroupData@`LoadedAbsolutelyIrreducibleSolvable\discretionary {\char 92}{}{}GroupData'}{9}
\indexentry {LoadedAbsoIrredSolGroupData@`LoadedAbsoIrredSolGroupData'}{9}
\indexentry {UnloadAbsolutelyIrreducibleSolubleGroupData@`UnloadAbsolutelyIrreducibleSoluble\discretionary {\char 92}{}{}GroupData'}{9}
\indexentry {UnloadAbsolutelyIrreducibleSolvableGroupData@`UnloadAbsolutelyIrreducibleSolvable\discretionary {\char 92}{}{}GroupData'}{9}
\indexentry {UnloadAbsoIrredSolGroupData@`UnloadAbsoIrredSolGroupData'}{9}
\indexentry {recognition!of matrix groups}{10}
\indexentry {identification!of matrix groups}{10}
\indexentry {IsAvailableIdIrreducibleSolubleMatrixGroup@`IsAvailable\discretionary {\char 92}{}{}Id\discretionary {\char 92}{}{}Irreducible\discretionary {\char 92}{}{}Soluble\discretionary {\char 92}{}{}MatrixGroup'}{10}
\indexentry {IsAvailableIdIrreducibleSolvableMatrixGroup@`IsAvailable\discretionary {\char 92}{}{}Id\discretionary {\char 92}{}{}Irreducible\discretionary {\char 92}{}{}Solvable\discretionary {\char 92}{}{}MatrixGroup'}{10}
\indexentry {IsAvailableIdAbsolutelyIrreducibleSolubleMatrixGroup@`IsAvailable\discretionary {\char 92}{}{}Id\discretionary {\char 92}{}{}Absolutely\discretionary {\char 92}{}{}Irreducible\discretionary {\char 92}{}{}Soluble\discretionary {\char 92}{}{}MatrixGroup'}{10}
\indexentry {IsAvailableIdAbsolutelyIrreducibleSolvableMatrixGroup@`IsAvailable\discretionary {\char 92}{}{}Id\discretionary {\char 92}{}{}Absolutely\discretionary {\char 92}{}{}Irreducible\discretionary {\char 92}{}{}Solvable\discretionary {\char 92}{}{}MatrixGroup'}{10}
\indexentry {IdIrreducibleSolubleMatrixGroup@`IdIrreducibleSolubleMatrixGroup'}{10}
\indexentry {IdIrreducibleSolvableMatrixGroup@`IdIrreducibleSolvableMatrixGroup'}{10}
\indexentry {RecognitionIrreducibleSolubleMatrixGroup@`RecognitionIrreducibleSoluble\discretionary {\char 92}{}{}MatrixGroup'}{10}
\indexentry {RecognitionIrreducibleSolubleMatrixGroupNC@`RecognitionIrreducibleSoluble\discretionary {\char 92}{}{}MatrixGroupNC'}{10}
\indexentry {RecognitionIrreducibleSolvableMatrixGroup@`RecognitionIrreducibleSolvable\discretionary {\char 92}{}{}MatrixGroup'}{10}
\indexentry {RecognitionIrreducibleSolvableMatrixGroupNC@`RecognitionIrreducibleSolvable\discretionary {\char 92}{}{}MatrixGroupNC'}{10}
\indexentry {IdAbsolutelyIrreducibleSolubleMatrixGroup@`IdAbsolutelyIrreducibleSolubleMatrixGroup'}{11}
\indexentry {RecognitionAbsolutelyIrreducibleSolubleMatrixGroup@`RecognitionAbsolutelyIrreducibleSoluble\discretionary {\char 92}{}{}MatrixGroup'}{11}
\indexentry {RecognitionAbsolutelyIrreducibleSolubleMatrixGroupNC@`RecognitionAbsolutelyIrreducibleSoluble\discretionary {\char 92}{}{}Matrix\discretionary {\char 92}{}{}Group\discretionary {\char 92}{}{}NC'}{11}
\indexentry {IdAbsolutelyIrreducibleSolvableMatrixGroup@`IdAbsolutelyIrreducibleSolvableMatrixGroup'}{11}
\indexentry {RecognitionAbsolutelyIrreducibleSolvableMatrixGroup@`RecognitionAbsolutelyIrreducibleSolvable\discretionary {\char 92}{}{}MatrixGroup'}{11}
\indexentry {RecognitionAbsolutelyIrreducibleSoluvaleMatrixGroupNC@`RecognitionAbsolutelyIrreducibleSolvable\discretionary {\char 92}{}{}Matrix\discretionary {\char 92}{}{}Group\discretionary {\char 92}{}{}NC'}{11}
\indexentry {compatibility!with other data libraries}{11}
\indexentry {IdIrreducibleSolubleMatrixGroupIndexMS@`IdIrreducibleSolubleMatrixGroupIndexMS'}{11}
\indexentry {IndexMSIdIrreducibleSolubleMatrixGroup@`IndexMSIdIrreducibleSolubleMatrixGroup'}{12}
\indexentry {loading!of recognition data}{12}
\indexentry {unloading!of recognition data}{12}
\indexentry {workspace!running out of}{12}
\indexentry {LoadAbsolutelyIrreducibleSolubleGroupFingerprints@`LoadAbsolutelyIrreducibleSolubleGroup\discretionary {\char 92}{}{}Fingerprints'}{12}
\indexentry {LoadedAbsolutelyIrreducibleSolubleGroupFingerprints@`LoadedAbsolutelyIrreducibleSolubleGroup\discretionary {\char 92}{}{}Fingerprints'}{12}
\indexentry {UnloadAbsolutelyIrreducibleSolubleGroupFingerprints@`UnloadAbsolutelyIrreducibleSolubleGroup\discretionary {\char 92}{}{}Finger\discretionary {\char 92}{}{}prints'}{12}
\indexentry {attributes!basic, for matrix groups}{13}
\indexentry {matrix group!basic attributes}{13}
\indexentry {DegreeOfMatrixGroup@`DegreeOfMatrixGroup'}{13}
\indexentry {Degree@`Degree'!for matrix groups}{13}
\indexentry {DimensionOfMatrixGroup@`DimensionOfMatrixGroup'}{13}
\indexentry {Dimension@`Dimension'!for matrix groups}{13}
\indexentry {FieldOfMatrixGroup@`FieldOfMatrixGroup'}{13}
\indexentry {DefaultFieldOfMatrixGroup@`DefaultFieldOfMatrixGroup'}{13}
\indexentry {SplittingField@`SplittingField'}{13}
\indexentry {CharacteristicOfField@`CharacteristicOfField'}{13}
\indexentry {Characteristic@`Characteristic'!for matrix groups}{13}
\indexentry {RepresentationIsomorphism@`RepresentationIsomorphism'}{13}
\indexentry {matrix group!irreducibility}{14}
\indexentry {matrix group!maximality}{14}
\indexentry {irreducibility!of matrix group}{14}
\indexentry {maximality!of matrix group}{14}
\indexentry {IsIrreducibleMatrixGroup@`IsIrreducibleMatrixGroup'}{14}
\indexentry {IsIrreducibleMatrixGroup@`IsIrreducibleMatrixGroup'}{14}
\indexentry {IsIrreducible@`IsIrreducible'!for matrix groups}{14}
\indexentry {IsAbsolutelyIrreducibleMatrixGroup@`IsAbsolutelyIrreducibleMatrixGroup'}{14}
\indexentry {IsAbsolutelyIrreducible@`IsAbsolutelyIrreducible'}{14}
\indexentry {IsMaximalAbsolutelyIrreducibleSolubleMatrixGroup@`IsMaximalAbsolutelyIrreducibleSoluble\discretionary {\char 92}{}{}MatrixGroup'}{14}
\indexentry {IsMaximalAbsolutelyIrreducibleSolvableMatrixGroup@`IsMaximalAbsolutelyIrreducibleSolvable\discretionary {\char 92}{}{}MatrixGroup'}{14}
\indexentry {matrix group!primitivity}{14}
\indexentry {primitivity!of matrix group}{14}
\indexentry {MinimalBlockDimensionOfMatrixGroup@`MinimalBlockDimensionOfMatrixGroup'}{14}
\indexentry {MinimalBlockDimensionOfMatrixGroup@`MinimalBlockDimensionOfMatrixGroup'}{14}
\indexentry {MinimalBlockDimension@`MinimalBlockDimension'!for matrix groups}{14}
\indexentry {IsPrimitiveMatrixGroup@`IsPrimitiveMatrixGroup'}{15}
\indexentry {IsPrimitiveMatrixGroup@`IsPrimitiveMatrixGroup'}{15}
\indexentry {IsPrimitive@`IsPrimitive'!for matrix groups}{15}
\indexentry {IsLinearlyPrimitive@`IsLinearlyPrimitive'}{15}
\indexentry {ImprimitivitySystems@`ImprimitivitySystems'}{15}
\indexentry {matrix group!conjugating into smaller fieldss}{16}
\indexentry {TraceField@`TraceField'}{16}
\indexentry {ConjugatingMatTraceField@`ConjugatingMatTraceField'}{16}
\indexentry {primitive soluble groups}{17}
\indexentry {soluble primitive groups}{17}
\indexentry {group!primitive soluble}{17}
\indexentry {permutation group!primitive soluble}{17}
\indexentry {PrimitivePcGroup@`PrimitivePcGroup'}{17}
\indexentry {PrimitiveSolublePermGroup@`PrimitiveSolublePermGroup'}{17}
\indexentry {PrimitiveSolvablePermGroup@`PrimitiveSolvablePermGroup'}{17}
\indexentry {PrimitivePcGroupIrreducibleMatrixGroup@`PrimitivePcGroupIrreducibleMatrixGroup'}{17}
\indexentry {PrimitivePcGroupIrreducibleMatrixGroupNC@`PrimitivePcGroupIrreducibleMatrixGroupNC'}{17}
\indexentry {PrimitivePermGroupIrreducibleMatrixGroup@`PrimitivePermGroup\discretionary {\char 92}{}{}Irreducible\discretionary {\char 92}{}{}MatrixGroup'}{18}
\indexentry {PrimitivePermGroupIrreducibleMatrixGroupNC@`PrimitivePermGroup\discretionary {\char 92}{}{}Irreducible\discretionary {\char 92}{}{}MatrixGroupNC'}{18}
\indexentry {IrreducibleMatrixGroupPrimitiveSolubleGroup@`IrreducibleMatrixGroup\discretionary {\char 92}{}{}Primitive\discretionary {\char 92}{}{}SolubleGroup'}{18}
\indexentry {IrreducibleMatrixGroupPrimitiveSolvableGroupNC@`IrreducibleMatrixGroup\discretionary {\char 92}{}{}Primitive\discretionary {\char 92}{}{}SolvableGroupNC'}{18}
\indexentry {find!primitive pc group}{18}
\indexentry {primitive pc group!with given properties}{18}
\indexentry {AllPrimitivePcGroups@`AllPrimitivePcGroups'}{18}
\indexentry {OnePrimitivePcGroup@`OnePrimitivePcGroup'}{18}
\indexentry {IteratorPrimitivePcGroups@`IteratorPrimitivePcGroups'}{19}
\indexentry {find!primitive permutation group}{19}
\indexentry {primitive permutation group!with given properties}{19}
\indexentry {AllPrimitiveSolublePermGroups@`AllPrimitiveSolublePermGroups'}{19}
\indexentry {AllPrimitiveSolvablePermGroups@`AllPrimitiveSolvablePermGroups'}{19}
\indexentry {OnePrimitiveSolublePermGroup@`OnePrimitiveSolublePermGroup'}{19}
\indexentry {OnePrimitiveSolvablePermGroup@`OnePrimitiveSolvablePermGroup'}{19}
\indexentry {IteratorPrimitivePermGroups@`IteratorPrimitivePermGroups'}{20}
\indexentry {identification!of primitive pc group}{20}
\indexentry {identification!of primitive permutation group}{20}
\indexentry {recognition!of primitive pc group}{20}
\indexentry {recognition!of primitive permutation group}{20}
\indexentry {primitive pc group!identification}{20}
\indexentry {primitive permutation group!identification}{20}
\indexentry {primitive pc group!recognition}{20}
\indexentry {primitive permutation group!recognition}{20}
\indexentry {IdPrimitiveSolubleGroup@`IdPrimitiveSolubleGroup'}{20}
\indexentry {IdPrimitiveSolubleGroupNC@`IdPrimitiveSolubleGroupNC'}{20}
\indexentry {IdPrimitiveSolvableGroup@`IdPrimitiveSolvableGroup'}{20}
\indexentry {IdPrimitiveSolvableGroupNC@`IdPrimitiveSolvableGroupNC'}{20}
\indexentry {RecognitionPrimitiveSolubleGroup@`RecognitionPrimitiveSolubleGroup'}{20}
\indexentry {RecognitionPrimitiveSolvableGroup@`RecognitionPrimitiveSolvableGroup'}{20}
\indexentry {obsolete functions!for primitive soluble permutation groups}{21}
\indexentry {PrimitiveSolublePermutationGroup@`PrimitiveSolublePermutationGroup'}{21}
\indexentry {PrimitiveSolvablePermutationGroup@`PrimitiveSolvablePermutationGroup'}{21}
\indexentry {PrimitivePermutationGroupIrreducibleMatrixGroup@`PrimitivePermutationGroup\discretionary {\char 92}{}{}Irreducible\discretionary {\char 92}{}{}MatrixGroup'}{21}
\indexentry {PrimitivePermutationGroupIrreducibleMatrixGroupNC@`PrimitivePermutationGroup\discretionary {\char 92}{}{}Irreducible\discretionary {\char 92}{}{}MatrixGroupNC'}{21}
\indexentry {AllPrimitiveSolublePermutationGroups@`AllPrimitiveSolublePermutationGroups'}{21}
\indexentry {AllPrimitiveSolvablePermutationGroups@`AllPrimitiveSolvablePermutationGroups'}{21}
\indexentry {IteratorPrimitivePermutationGroups@`IteratorPrimitivePermutationGroups'}{21}
\indexentry {OnePrimitiveSolublePermutationGroup@`OnePrimitiveSolublePermutationGroup'}{21}
\indexentry {OnePrimitiveSolvablePermutationGroup@`OnePrimitiveSolvablePermutationGroup'}{21}
