# 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
AllIrreducibleSolvableMatrixGroups 2.3.1
AllPrimitivePcGroups 5.2.1
AllPrimitiveSolvablePermutationGroups 5.3.1

## 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
IndicesIrreducibleSolvableMatrixGroups 2.2.2
IndicesMaximalAbsolutelyIrreducibleSolvableMatrixGroups 2.2.5
IRREDSOL 1.0
Irreducibility and maximality of matrix groups 4.2
IrreducibleMatrixGroupPrimitiveSolvableGroup 5.1.3
IrreducibleMatrixGroupPrimitiveSolvableGroupNC 5.1.3
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
IteratorIrreducibleSolvableMatrixGroups 2.3.3
IteratorPrimitivePcGroups 5.2.3
IteratorPrimitivePermutationGroups 5.3.3

## L

LoadAbsolutelyIrreducibleSolvableGroupData 2.4.1
LoadAbsolutelyIrreducibleSolvableGroupFingerprints 3.3.1
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

OneIrreducibleSolvableMatrixGroup 2.3.2
OnePrimitivePcGroup 5.2.2
OnePrimitiveSolvablePermutationGroup 5.3.2
Overview 1.0

## P

Primitive solvable groups 5.0
PrimitivePcGroupIrreducibleMatrixGroup 5.1.1
PrimitivePcGroupIrreducibleMatrixGroupNC 5.1.1
PrimitivePermutationGroupIrreducibleMatrixGroup 5.1.2
PrimitivePermutationGroupIrreducibleMatrixGroupNC 5.1.2
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
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

UnloadAbsolutelydIrreducibleSolvableGroupData 2.4.3
UnloadAbsolutelyIrreducibleSolvableGroupFingerprints 3.3.3

## W

workspace, running out of 2.4 3.3

[Up]