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##
#W clashom.gd GAP library Alexander Hulpke
##
##
#Y (C) 1999 School Math and Comp. Sci., University of St Andrews, Scotland
#Y Copyright (C) 2002 The GAP Group
##
## This file contains functions that compute the conjugacy classes of a
## finite group by homomorphic images.
## Literature: A.H: Conjugacy classes in finite permutation groups via
## homomorphic images, MathComp, to appear.
##
#############################################################################
##
#V InfoHomClass
##
## the info class for the conjugacy class computation via homomorphic
## images.
DeclareInfoClass("InfoHomClass");
#############################################################################
##
#F ConjugacyClassesSubwreath(<F>,<M>,<n>,<autT>,<T>,<Lloc>,<comp>,<emb>,<proj>)
##
## This function computes the classes of a subwreath groiup. The interface
## is quite technical because the subwreath decomposition is passed already
## with it: <F> is the factor group, <FM> the normal subgroup in it (direct
## product of the <n> groups isomorphic <T>). <T> is one of these and
## <autT> the action of <FM> on the first component, the components are
## given in <comp>, <emb> and <proj> are embeddings and projectios for the
## direct product.
DeclareGlobalFunction("ConjugacyClassesSubwreath");
#############################################################################
##
#F ConjugacyClassesFittingFreeGroup(<G>)
##
## computes the classes of a group <G> which has no solvable normal
## subgroups. It returns a list whose entries are of the form
## [<rep>,<centralizer>].
DeclareGlobalFunction("ConjugacyClassesFittingFreeGroup");
#############################################################################
##
#F ConjugacyClassesViaRadical(<G>)
##
## computes the classes of a group <G> by lifting the classes of G/Rad(G)
## using affine actions. It returns a list of conjugacy classes.
DeclareGlobalFunction("ConjugacyClassesViaRadical");
#############################################################################
##
#E clashom.gd . . . . . . . . . . . . . . . . . . . . . . . . . . ends here
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