|
#############################################################################
##
## This file is part of GAP, a system for computational discrete algebra.
## This file's authors include Scott Murray, 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 mappings between groups and additive
## groups.
##
#############################################################################
##
#F GroupToAdditiveGroupHomomorphismByFunction( <S>, <R>, <fun> )
#F GroupToAdditiveGroupHomomorphismByFunction( <S>, <R>, <fun>, <invfun> )
##
## `GroupToAdditiveGroupHomomorphismByFunction' returns a
## group-to-additive-group homomorphism <hom> with
## source <S> and range <R>, such that each element <s> of <S> is mapped to
## the element `<fun>( <s> )', where <fun> is a {\GAP} function.
##
## If the argument <invfun> is bound then <hom> is a bijection between <S>
## and <R>, and the preimage of each element <r> of <R> is given by
## `<invfun>( <r> )', where <invfun> is a {\GAP} function.
##
## No test is performed on whether the functions actually give an
## homomorphism between both groups because this would require testing the
## full multiplication table.
##
## `GroupToAdditiveGroupHomomorphismByFunction' creates a mapping which
## `IsSPGeneralMapping'.
##
DeclareGlobalFunction("GroupToAdditiveGroupHomomorphismByFunction");
[ Dauer der Verarbeitung: 0.33 Sekunden
(vorverarbeitet)
]
|
