# IRREDSOL : a GAP 4 package - Index

A B C D F I L M O P R S T U W

## A

AbsolutelyIrreducibleSolvableMatrixGroup 2.2.6
Accessing the data library 2.0
Additional functionality for matrix groups 4.0
AllIrredSolMatGroups 2.3.1
AllIrreducibleSolubleMatrixGroups 2.3.1
AllIrreducibleSolvableMatrixGroups 2.3.1
AllPrimitivePcGroups 5.2.1
AllPrimitiveSolvablePermGroups 5.3.1
AllPrimitiveSolvablePermutationGroups 5.5.1

## B

Basic attributes for matrix groups 4.1

## C

Characteristic, for matrix groups 4.1.5
CharacteristicOfField 4.1.5
Compatibility with other data libraries 3.2
Conjugating matrix groups into smaller fields 4.4
ConjugatingMatTraceField 4.4.2

## D

DefaultFieldOfMatrixGroup 4.1.3
Degree, for matrix groups 4.1.1
DegreeOfMatrixGroup 4.1.1
Design of the group library 2.1
Dimension, for matrix groups 4.1.1
DimensionOfMatrixGroup 4.1.1

## F

FieldOfMatrixGroup 4.1.2
Finding matrix groups with given properties 2.3
Finding primitive pc groups with given properties 5.2
Finding primitive solvable permutation groups with given properties 5.3

## I

IdAbsolutelyIrreducibleSolvableMatrixGroup 3.1.5
Identification of irreducible groups 3.1
IdIrreducibleSolvableMatrixGroup 3.1.3
IdIrreducibleSolvableMatrixGroupIndexMS 3.2.1
IdPrimitiveSolvableGroup 5.4.1
IdPrimitiveSolvableGroupNC 5.4.1
ImprimitivitySystems 4.3.3
IndexMSIdIrreducibleSolvableMatrixGroup 3.2.2
IndicesAbsolutelyIrreducibleSolvableMatrixGroups 2.2.6
IndicesIrreducibleSolubleMatrixGroups 2.2.2
IndicesIrreducibleSolvableMatrixGroups 2.2.2
IndicesMaximalAbsolutelyIrreducibleSolvableMatrixGroups 2.2.5
IRREDSOL 1.0
Irreducibility and maximality of matrix groups 4.2
IrreducibleMatrixGroupPrimitiveSolvableGroup 5.1.4
IrreducibleMatrixGroupPrimitiveSolvableGroupNC 5.1.4
IrreducibleSolubleMatrixGroup 2.2.3
IrreducibleSolvableMatrixGroup 2.2.3
IsAbsolutelyIrreducible 4.2.2
IsAbsolutelyIrreducibleMatrixGroup 4.2.2
IsAvailableAbsolutelyIrreducibleSolvableGroupData 2.2.4
IsAvailableIdAbsolutelyIrreducibleSolvableMatrixGroup 3.1.2
IsAvailableIdIrreducibleSolvableMatrixGroup 3.1.1
IsAvailableIrreducibleSolvableGroupData 2.2.1
IsIrreducible, for matrix groups 4.2.1
IsIrreducibleMatrixGroup 4.2.1
IsLinearlyPrimitive 4.3.2
IsMaximalAbsolutelyIrreducibleSolvableMatrixGroup 4.2.3
IsPrimitive, for matrix groups 4.3.2
IsPrimitiveMatrixGroup 4.3.2
IteratorIrredSolMatGroups 2.3.3
IteratorIrreducibleSolubleMatrixGroups 2.3.3
IteratorIrreducibleSolvableMatrixGroups 2.3.3
IteratorPrimitivePcGroups 5.2.3
IteratorPrimitivePermGroups 5.3.3
IteratorPrimitivePermutationGroups 5.5.1

## L

LoadAbsoIrredSolGroupData 2.4.1
LoadAbsolutelyIrreducibleSolubleGroupData 2.4.1
LoadAbsolutelyIrreducibleSolvableGroupData 2.4.1
LoadAbsolutelyIrreducibleSolvableGroupFingerprints 3.3.1
LoadedAbsoIrredSolGroupData 2.4.2
LoadedAbsolutelyIrreducibleSolubleGroupData 2.4.2
LoadedAbsolutelyIrreducibleSolvableGroupData 2.4.2
LoadedAbsolutelyIrreducibleSolvableGroupFingerprints 3.3.2
Loading and unloading group data manually 2.4
Loading and unloading recognition data manually 3.3
Low level access functions 2.2

## M

MinimalBlockDimension, for matrix groups 4.3.1
MinimalBlockDimensionOfMatrixGroup 4.3.1

## O

Obsolete functions 5.5
OneIrredSolMatGroup 2.3.2
OneIrreducibleSolubleMatrixGroup 2.3.2
OneIrreducibleSolvableMatrixGroup 2.3.2
OnePrimitivePcGroup 5.2.2
OnePrimitiveSolvablePermGroup 5.3.2
OnePrimitiveSolvablePermutationGroup 5.5.1
Overview 1.0

## P

Primitive solvable groups 5.0
PrimitivePcGroup 5.1.1
PrimitivePcGroupIrreducibleMatrixGroup 5.1.2
PrimitivePcGroupIrreducibleMatrixGroupNC 5.1.2
PrimitivePermGroupIrreducibleMatrixGroup 5.1.3
PrimitivePermGroupIrreducibleMatrixGroupNC 5.1.3
PrimitivePermutationGroupIrreducibleMatrixGroup 5.5.1
PrimitivePermutationGroupIrreducibleMatrixGroupNC 5.5.1
PrimitiveSolvablePermGroup 5.1.1
PrimitiveSolvablePermutationGroup 5.5.1
Primitivity of matrix groups 4.3

## R

Recognition of matrix groups 3.0
RecognitionAbsolutelyIrreducibleSolvableMatrixGroup 3.1.5
RecognitionAbsolutelyIrreducibleSolvableMatrixGroupNC 3.1.5
RecognitionIrreducibleSolvableMatrixGroup 3.1.4
RecognitionIrreducibleSolvableMatrixGroupNC 3.1.4
RecognitionPrimitiveSolvableGroup 5.4.2
Recognizing primitive solvable groups 5.4
RepresentationIsomorphism 4.1.6

## S

SplittingField 4.1.4

## T

TraceField 4.4.1
Translating between irreducible solvable matrix groups and primitive solvable groups 5.1

## U

UnloadAbsoIrredSolGroupData 2.4.3
UnloadAbsolutelyIrreducibleSolubleGroupData 2.4.3
UnloadAbsolutelyIrreducibleSolvableGroupData 2.4.3
UnloadAbsolutelyIrreducibleSolvableGroupFingerprints 3.3.3

## W

workspace, running out of 2.4 3.3

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