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#############################################################################
##
## This file is part of GAP, a system for computational discrete algebra.
## This file's authors include Alexander Hulpke.
##
## Copyright of GAP belongs to its developers, whose names are too numerous
## to list here. Please refer to the COPYRIGHT file for details.
##
## SPDX-License-Identifier: GPL-2.0-or-later
##
## This file contains declarations for orbits on subgroups
##
#############################################################################
##
#O SubgroupsOrbitsAndNormalizers(G,O,all) orbits of G on subgroups
## O is either a list on which G acts or a record containing a component
## `.list' which is a list of groups. In the latter case, groups are removed
## from the list as long as they are not needed any longer to save space.
## if all is true, the full orbits are kept, otherwise only representatives.
## The input list needs to be free of duplicates (e.g. using Unique),
## otherwise the result might not be duplicate-free either.
##
DeclareOperation( "SubgroupsOrbitsAndNormalizers",[IsGroup,IsObject,IsBool]);
#############################################################################
##
#O GroupOnSubgroupsOrbit(G,H) . . . . . . . . . . . . . . orbit of H under G
##
DeclareGlobalFunction("GroupOnSubgroupsOrbit");
#############################################################################
##
#O MinimumGroupOnSubgroupsOrbit(G,H [,N_G(H)]) minimum of orbit of H under G
##
DeclareGlobalFunction("MinimumGroupOnSubgroupsOrbit");
#############################################################################
##
#O PermPreConjtestGroups(G,l)
##
## Utility function: Cluster permgroups according to orbits and cycle
## structures, possibly conjugating. This is only worth if there are many
## very similar subgroups and thus not part of the default
## SubgroupsOrbitsAndNormalizers method.
DeclareGlobalFunction("PermPreConjtestGroups");
DeclareGlobalFunction("ClusterConjugacyPermgroups");
DeclareGlobalFunction("RefineClusterConjugacyPermgroups");
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