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#############################################################################
##
## This file is part of GAP, a system for computational discrete algebra.
## This file's authors include Stefan Kohl.
##
## 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
##
#############################################################################
##
#O SuzukiGroupCons( <filter>, <q> )
##
## <ManSection>
## <Oper Name="SuzukiGroupCons" Arg='filter, q'/>
##
## <Description>
## </Description>
## </ManSection>
##
DeclareConstructor( "SuzukiGroupCons", [ IsGroup, IsInt ] );
#############################################################################
##
#F SuzukiGroup( [<filt>, ] <q> ) . . . . . . . . . . . . . . . Suzuki group
#F Sz( [<filt>, ] <q> )
##
## <#GAPDoc Label="SuzukiGroup">
## <ManSection>
## <Func Name="SuzukiGroup" Arg='[filt, ] q'/>
## <Func Name="Sz" Arg='[filt, ] q'/>
##
## <Description>
## Constructs a group isomorphic to the Suzuki group Sz( <A>q</A> )
## over the field with <A>q</A> elements, where <A>q</A> is a non-square
## power of <M>2</M>.
## <P/>
## If <A>filt</A> is not given it defaults to <Ref Filt="IsMatrixGroup"/>,
## and the returned group is the Suzuki group itself.
## For more information on possible values of <A>filt</A> see section
## (<Ref Sect="Basic Groups"/>).
## <Example><![CDATA[
## gap> SuzukiGroup( 32 );
## Sz(32)
## ]]></Example>
## </Description>
## </ManSection>
## <#/GAPDoc>
##
BindGlobal( "SuzukiGroup", function ( arg )
if Length(arg) = 1 then
return SuzukiGroupCons( IsMatrixGroup, arg[1] );
elif IsOperation(arg[1]) then
if Length(arg) = 2 then
return SuzukiGroupCons( arg[1], arg[2] );
fi;
fi;
Error( "usage: SuzukiGroup( [<filter>, ] <q> )" );
end );
DeclareSynonym( "Sz", SuzukiGroup );
[ Dauer der Verarbeitung: 0.107 Sekunden
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