# IRREDSOL : a GAP 4 package - Index

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

## A

AbsolutelyIrreducibleSolubleMatrixGroup 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
AllPrimitiveSolublePermGroups 5.3.1
AllPrimitiveSolublePermutationGroups 5.5.1
AllPrimitiveSolvablePermGroups 5.3.1
AllPrimitiveSolvablePermutationGroups 5.5.1
attributes, basic, for matrix groups 4.1

## 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
compatibility, with other data libraries 3.2
Conjugating matrix groups into smaller fields 4.4
ConjugatingMatTraceField 4.4.2
Converting between irreducible soluble matrix groups and primitive soluble groups 5.1

## 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
find, matrix group 2.3
find, primitive pc group 5.2
find, primitive permutation group 5.3
Finding matrix groups with given properties 2.3
Finding primitive pc groups with given properties 5.2
Finding primitive soluble permutation groups with given properties 5.3

## G

group, primitive soluble 5.0

## I

IdAbsolutelyIrreducibleSolubleMatrixGroup 3.1.5
IdAbsolutelyIrreducibleSolvableMatrixGroup 3.1.5
Identification of irreducible groups 3.1
identification, of matrix groups 3.0
identification, of primitive pc group 5.4
identification, of primitive permutation group 5.4
IdIrreducibleSolubleMatrixGroup 3.1.3
IdIrreducibleSolubleMatrixGroupIndexMS 3.2.1
IdIrreducibleSolvableMatrixGroup 3.1.3
IdPrimitiveSolubleGroup 5.4.1
IdPrimitiveSolubleGroupNC 5.4.1
IdPrimitiveSolvableGroup 5.4.1
IdPrimitiveSolvableGroupNC 5.4.1
ImprimitivitySystems 4.3.3
IndexMSIdIrreducibleSolubleMatrixGroup 3.2.2
IndicesAbsolutelyIrreducibleSolubleMatrixGroups 2.2.6
IndicesIrreducibleSolubleMatrixGroups 2.2.2
IndicesIrreducibleSolvableMatrixGroups 2.2.2
IndicesMaximalAbsolutelyIrreducibleSolubleMatrixGroups 2.2.5
IndicesMaximalAbsolutelyIrreducibleSolvableMatrixGroups 2.2.5
IRREDSOL 1.0
IRREDSOL, accessing low level data 2.2
IRREDSOL, database design 2.1
Irreducibility and maximality of matrix groups 4.2
irreducibility, of matrix group 4.2
IrreducibleMatrixGroupPrimitiveSolubleGroup 5.1.4
IrreducibleMatrixGroupPrimitiveSolvableGroupNC 5.1.4
IrreducibleSolubleMatrixGroup 2.2.3
IrreducibleSolvableMatrixGroup 2.2.3
IsAbsolutelyIrreducible 4.2.2
IsAbsolutelyIrreducibleMatrixGroup 4.2.2
IsAvailableAbsolutelyIrreducibleSolubleGroupData 2.2.4
IsAvailableAbsolutelyIrreducibleSolvableGroupData 2.2.4
IsAvailableIdAbsolutelyIrreducibleSolubleMatrixGroup 3.1.2
IsAvailableIdAbsolutelyIrreducibleSolvableMatrixGroup 3.1.2
IsAvailableIdIrreducibleSolubleMatrixGroup 3.1.1
IsAvailableIdIrreducibleSolvableMatrixGroup 3.1.1
IsAvailableIrreducibleSolubleGroupData 2.2.1
IsAvailableIrreducibleSolvableGroupData 2.2.1
IsIrreducible, for matrix groups 4.2.1
IsIrreducibleMatrixGroup 4.2.1
IsLinearlyPrimitive 4.3.2
IsMaximalAbsolutelyIrreducibleSolubleMatrixGroup 4.2.3
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
LoadAbsolutelyIrreducibleSolubleGroupFingerprints 3.3.1
LoadAbsolutelyIrreducibleSolvableGroupData 2.4.1
LoadedAbsoIrredSolGroupData 2.4.2
LoadedAbsolutelyIrreducibleSolubleGroupData 2.4.2
LoadedAbsolutelyIrreducibleSolubleGroupFingerprints 3.3.2
LoadedAbsolutelyIrreducibleSolvableGroupData 2.4.2
Loading and unloading group data manually 2.4
Loading and unloading recognition data manually 3.3
loading, of group data 2.4
loading, of recognition data 3.3
Low level access functions 2.2

## M

matrix group, basic attributes 4.1
matrix group, conjugating into smaller fieldss 4.4
matrix group, irreducibility 4.2
matrix group, maximality 4.2
matrix group, primitivity 4.3
matrix group, with given properties 2.3
maximality, of matrix group 4.2
MinimalBlockDimension, for matrix groups 4.3.1
MinimalBlockDimensionOfMatrixGroup 4.3.1

## O

Obsolete functions 5.5
obsolete functions, for primitive soluble permutation groups 5.5
OneIrredSolMatGroup 2.3.2
OneIrreducibleSolubleMatrixGroup 2.3.2
OneIrreducibleSolvableMatrixGroup 2.3.2
OnePrimitivePcGroup 5.2.2
OnePrimitiveSolublePermGroup 5.3.2
OnePrimitiveSolublePermutationGroup 5.5.1
OnePrimitiveSolvablePermGroup 5.3.2
OnePrimitiveSolvablePermutationGroup 5.5.1
Overview 1.0

## P

permutation group, primitive soluble 5.0
primitive pc group, identification 5.4
primitive pc group, recognition 5.4
primitive pc group, with given properties 5.2
primitive permutation group, identification 5.4
primitive permutation group, recognition 5.4
primitive permutation group, with given properties 5.3
Primitive soluble groups 5.0
primitive soluble 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
PrimitiveSolublePermGroup 5.1.1
PrimitiveSolublePermutationGroup 5.5.1
PrimitiveSolvablePermGroup 5.1.1
PrimitiveSolvablePermutationGroup 5.5.1
Primitivity of matrix groups 4.3
primitivity, of matrix group 4.3

## R

Recognising primitive soluble groups 5.4
Recognition of matrix groups 3.0
recognition, of matrix groups 3.0
recognition, of primitive pc group 5.4
recognition, of primitive permutation group 5.4
RecognitionAbsolutelyIrreducibleSolubleMatrixGroup 3.1.5
RecognitionAbsolutelyIrreducibleSolubleMatrixGroupNC 3.1.5
RecognitionAbsolutelyIrreducibleSoluvaleMatrixGroupNC 3.1.5
RecognitionAbsolutelyIrreducibleSolvableMatrixGroup 3.1.5
RecognitionIrreducibleSolubleMatrixGroup 3.1.4
RecognitionIrreducibleSolubleMatrixGroupNC 3.1.4
RecognitionIrreducibleSolvableMatrixGroup 3.1.4
RecognitionIrreducibleSolvableMatrixGroupNC 3.1.4
RecognitionPrimitiveSolubleGroup 5.4.2
RecognitionPrimitiveSolvableGroup 5.4.2
RepresentationIsomorphism 4.1.6

## S

soluble primitive groups 5.0
SplittingField 4.1.4
structure of IRREDSOL 1.0

## T

TraceField 4.4.1

## U

UnloadAbsoIrredSolGroupData 2.4.3
UnloadAbsolutelyIrreducibleSolubleGroupData 2.4.3
UnloadAbsolutelyIrreducibleSolubleGroupFingerprints 3.3.3
UnloadAbsolutelyIrreducibleSolvableGroupData 2.4.3
unloading, of group data 2.4
unloading, of recognition data 3.3

## V

Version History A.0

## W

workspace, running out of 2.4 3.3

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