Maps Concerning Character Tables
maps
parametrized maps
<#Include Label="[1]{ctblmaps}">

Several examples in this chapter require the &GAP; Character Table Library to be available. If it is not yet loaded then we load it now.

gap> LoadPackage( "ctbllib" ); true
Power Maps
<#Include Label="[2]{ctblmaps}"> <#Include Label="PowerMap"> <#Include Label="PossiblePowerMaps"> <#Include Label="ElementOrdersPowerMap"> <#Include Label="PowerMapByComposition">

Orbits on Sets of Possible Power Maps
<#Include Label="[3]{ctblmaps}"> <#Include Label="OrbitPowerMaps"> <#Include Label="RepresentativesPowerMaps">

Class Fusions between Character Tables
<#Include Label="[4]{ctblmaps}"> <#Include Label="FusionConjugacyClasses"> <#Include Label="ComputedClassFusions"> <#Include Label="GetFusionMap"> <#Include Label="StoreFusion"> <#Include Label="NamesOfFusionSources"> <#Include Label="PossibleClassFusions"> <#Include Label="ConsiderStructureConstants">

Orbits on Sets of Possible Class Fusions
<#Include Label="[5]{ctblmaps}"> <#Include Label="OrbitFusions"> <#Include Label="RepresentativesFusions">

Parametrized Maps
<#Include Label="[6]{ctblmaps}"> <#Include Label="CompositionMaps"> <#Include Label="InverseMap"> <#Include Label="ProjectionMap"> <#Include Label="Indirected"> <#Include Label="Parametrized"> <#Include Label="ContainedMaps"> <#Include Label="UpdateMap"> <#Include Label="MeetMaps"> <#Include Label="CommutativeDiagram"> <#Include Label="CheckFixedPoints"> <#Include Label="TransferDiagram"> <#Include Label="TestConsistencyMaps"> <#Include Label="Indeterminateness"> <#Include Label="PrintAmbiguity"> <#Include Label="ContainedSpecialVectors"> <#Include Label="CollapsedMat"> <#Include Label="ContainedDecomposables">

Subroutines for the Construction of Power Maps
<#Include Label="[7]{ctblmaps}"> <#Include Label="InitPowerMap"> <#Include Label="Congruences"> <#Include Label="ConsiderKernels"> <#Include Label="ConsiderSmallerPowerMaps"> <#Include Label="MinusCharacter"> <#Include Label="PowerMapsAllowedBySymmetrizations">

Subroutines for the Construction of Class Fusions
<#Include Label="InitFusion"> <#Include Label="CheckPermChar"> <#Include Label="ConsiderTableAutomorphisms"> <#Include Label="FusionsAllowedByRestrictions">