C overview.tex 1. Overview I 1.0. IRREDSOL C access.tex 2. Accessing the data library S 2.1. Design of the group library S 2.2. Low level access functions F 2.2. IsAvailableIrreducibleSolvableGroupData F 2.2. IndicesIrreducibleSolvableMatrixGroups F 2.2. IrreducibleSolvableMatrixGroup F 2.2. IsAvailableAbsolutelyIrreducibleSolvableGroupData F 2.2. IndicesMaximalAbsolutelyIrreducibleSolvableMatrixGroups F 2.2. IndicesAbsolutelyIrreducibleSolvableMatrixGroups F 2.2. AbsolutelyIrreducibleSolvableMatrixGroup S 2.3. Finding matrix groups with given properties F 2.3. AllIrreducibleSolvableMatrixGroups F 2.3. OneIrreducibleSolvableMatrixGroup F 2.3. IteratorIrreducibleSolvableMatrixGroups S 2.4. Loading and unloading group data manually I 2.4. workspace!running out of F 2.4. LoadAbsolutelyIrreducibleSolvableGroupData F 2.4. LoadedAbsolutelyIrreducibleSolvableGroupData F 2.4. UnloadAbsolutelydIrreducibleSolvableGroupData C recognition.tex 3. Recognition of matrix groups S 3.1. Identification of irreducible groups F 3.1. IsAvailableIdIrreducibleSolvableMatrixGroup F 3.1. IsAvailableIdAbsolutelyIrreducibleSolvableMatrixGroup F 3.1. IdIrreducibleSolvableMatrixGroup F 3.1. RecognitionIrreducibleSolvableMatrixGroup F 3.1. RecognitionIrreducibleSolvableMatrixGroupNC F 3.1. IdAbsolutelyIrreducibleSolvableMatrixGroup F 3.1. RecognitionAbsolutelyIrreducibleSolvableMatrixGroup F 3.1. RecognitionAbsolutelyIrreducibleSolvableMatrixGroupNC S 3.2. Compatibility with other data libraries F 3.2. IdIrreducibleSolvableMatrixGroupIndexMS F 3.2. IndexMSIdIrreducibleSolvableMatrixGroup S 3.3. Loading and unloading recognition data manually I 3.3. workspace!running out of F 3.3. LoadAbsolutelyIrreducibleSolvableGroupFingerprints F 3.3. LoadedAbsolutelyIrreducibleSolvableGroupFingerprints F 3.3. UnloadAbsolutelyIrreducibleSolvableGroupFingerprints C matgroups.tex 4. Additional functionality for matrix groups S 4.1. Basic attributes for matrix groups F 4.1. DegreeOfMatrixGroup F 4.1. Degree!for matrix groups F 4.1. DimensionOfMatrixGroup F 4.1. Dimension!for matrix groups F 4.1. FieldOfMatrixGroup F 4.1. DefaultFieldOfMatrixGroup F 4.1. SplittingField F 4.1. CharacteristicOfField F 4.1. Characteristic!for matrix groups F 4.1. RepresentationIsomorphism S 4.2. Irreducibility and maximality of matrix groups F 4.2. IsIrreducibleMatrixGroup F 4.2. IsIrreducibleMatrixGroup F 4.2. IsIrreducible!for matrix groups F 4.2. IsAbsolutelyIrreducibleMatrixGroup F 4.2. IsAbsolutelyIrreducible F 4.2. IsMaximalAbsolutelyIrreducibleSolvableMatrixGroup S 4.3. Primitivity of matrix groups F 4.3. MinimalBlockDimensionOfMatrixGroup F 4.3. MinimalBlockDimensionOfMatrixGroup F 4.3. MinimalBlockDimension!for matrix groups F 4.3. IsPrimitiveMatrixGroup F 4.3. IsPrimitiveMatrixGroup F 4.3. IsPrimitive!for matrix groups F 4.3. IsLinearlyPrimitive F 4.3. ImprimitivitySystems S 4.4. Conjugating matrix groups into smaller fields F 4.4. TraceField F 4.4. ConjugatingMatTraceField C primitive.tex 5. Primitive solvable groups S 5.1. Translating between irreducible solvable matrix groups and primitive solvable groups F 5.1. PrimitivePcGroupIrreducibleMatrixGroup F 5.1. PrimitivePcGroupIrreducibleMatrixGroupNC F 5.1. PrimitivePermutationGroupIrreducibleMatrixGroup F 5.1. PrimitivePermutationGroupIrreducibleMatrixGroupNC F 5.1. IrreducibleMatrixGroupPrimitiveSolvableGroup F 5.1. IrreducibleMatrixGroupPrimitiveSolvableGroupNC S 5.2. Finding primitive pc groups with given properties F 5.2. AllPrimitivePcGroups F 5.2. OnePrimitivePcGroup F 5.2. IteratorPrimitivePcGroups S 5.3. Finding primitive solvable permutation groups with given properties F 5.3. AllPrimitiveSolvablePermutationGroups F 5.3. OnePrimitiveSolvablePermutationGroup F 5.3. IteratorPrimitivePermutationGroups S 5.4. Recognizing primitive solvable groups F 5.4. IdPrimitiveSolvableGroup F 5.4. IdPrimitiveSolvableGroupNC