C overview.tex 1. Overview
C access.tex 2. Accessing the data library
S 2.1. Low level access functions
F 2.1. IsAvailableIrreducibleSolvableGroupData
F 2.1. IndicesIrreducibleSolvableMatrixGroups
F 2.1. IrreducibleSolvableMatrixGroup
F 2.1. IsAvailableAbsolutelyIrreducibleSolvableGroupData
F 2.1. IndicesAbsolutelyIrreducibleSolvableMatrixGroups
F 2.1. AbsolutelyIrreducibleSolvableMatrixGroup
F 2.1. IndicesMaximalAbsolutelyIrreducibleSolvableMatrixGroups
S 2.2. Finding matrix groups with given properties
F 2.2. AllIrreducibleSolvableMatrixGroups
F 2.2. OneIrreducibleSolvableMatrixGroup
F 2.2. IteratorIrreducibleSolvableMatrixGroups
C recognition.tex 3. Recognition of matrix groups
S 3.1. Identification of irreducible groups
F 3.1. IdIrreducibleSolvableMatrixGroupAvailable
F 3.1. IdIrreducibleSolvableMatrixGroup
S 3.2. Identification of absolutely irreducible groups
F 3.2. IdAbsolutelyIrreducibleSolvableMatrixGroupAvailable
F 3.2. IdAbsolutelyIrreducibleSolvableMatrixGroup
F 3.2. RecognitionAbsolutelyIrreducibleSolvableMatrixGroup
F 3.2. RecognitionAbsolutelyIrreducibleSolvableMatrixGroupNC
S 3.3. Compatibility with other data libraries
F 3.3. IdIrreducibleSolvableMatrixGroupIndexMS
F 3.3. IndexMSIdIrreducibleSolvableMatrixGroup
C primitive.tex 4. Primitive solvable groups
S 4.1. Translating irreducible solvable matrix groups into primitive solvable groups and back
F 4.1. PrimitivePcGroupIrreducibleMatrixGroup
F 4.1. PrimitivePcGroupIrreducibleMatrixGroupNC
F 4.1. IrreducibleMatrixGroupPrimitivePcGroup
F 4.1. IrreducibleMatrixGroupPrimitivePcGroupNC
S 4.2. Finding primitive solvable groups with given properties
F 4.2. AllPrimitivePcGroups
F 4.2. OnePrimitivePcGroup
F 4.2. IteratorPrimitivePcGroups
C matgroups.tex 5. Additional functionality for matrix groups
S 5.1. Basic attributes for matrix groups
F 5.1. DegreeOfMatrixGroup
F 5.1. Degree!for matrix groups
F 5.1. DimensionOfMatrixGroup
F 5.1. Dimension!for matrix groups
F 5.1. FieldOfMatrixGroup
F 5.1. CharacteristicOfField
F 5.1. Characteristic!for matrix groups
F 5.1. RepresentationIsomorphism
S 5.2. Irreducibility and maximality of matrix groups
F 5.2. IsIrreducibleMatrixGroup
F 5.2. IsIrreducibleMatrixGroup
F 5.2. IsIrreducible!for matrix groups
F 5.2. IsAbsolutelyIrreducibleMatrixGroup
F 5.2. IsMaximalAbsolutelyIrreducibleSolvableMatrixGroup
S 5.3. Primitivity of matrix groups
F 5.3. MinimalBlockDimensionOfMatrixGroup
F 5.3. MinimalBlockDimensionOfMatrixGroup
F 5.3. MinimalBlockDimension!for matrix groups
F 5.3. IsPrimitiveMatrixGroup
F 5.3. IsPrimitiveMatrixGroup
F 5.3. IsLinearlyPrimitive
F 5.3. IsPrimitive!for matrix groups
S 5.4. Conjugating matrix groups into smaller fields
F 5.4. TraceField
F 5.4. ConjugatingMatTraceField
C advanced.tex 6. Advanced information
S 6.1. Design of the group library
S 6.2. Loading and unloading group data manually
I 6.2. workspace!running out of
F 6.2. LoadAbsolutelyIrreducibleSolvableGroupData
F 6.2. LoadedAbsolutelyIrreducibleSolvableGroupData
F 6.2. UnloadAbsolutelydIrreducibleSolvableGroupData
S 6.3. Loading and unloading recognition data manually
I 6.3. workspace!running out of
F 6.3. LoadedAbsolutelyIrreducibleSolvableGroupFingerprints
F 6.3. UnloadAbsolutelyIrreducibleSolvableGroupFingerprints
