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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
##
#############################################################################
##
#O ReeGroupCons( <filter>, <q> )
##
## <ManSection>
## <Oper Name="ReeGroupCons" Arg='filter, q'/>
##
## <Description>
## </Description>
## </ManSection>
##
DeclareConstructor( "ReeGroupCons", [ IsGroup, IsInt ] );
#############################################################################
##
#F ReeGroup( [<filt>, ] <q> ) . . . . . . . . . . . . . . . Ree group
#F Ree( [<filt>, ] <q> )
##
## <#GAPDoc Label="ReeGroup">
## <ManSection>
## <Func Name="ReeGroup" Arg='[filt, ] q'/>
## <Func Name="Ree" Arg='[filt, ] q'/>
##
## <Description>
## Constructs a group isomorphic to the Ree group <M>^2G_2(q)</M> where
## <M>q = 3^{{1+2m}}</M> for <M>m</M> a non-negative integer.
## <P/>
## If <A>filt</A> is not given it defaults to <Ref Filt="IsMatrixGroup"/>
## and the generating matrices are based on <Cite Key="KLM01"/>.
## (No particular choice of a generating set is guaranteed.)
## For more information on possible values of <A>filt</A> see section
## (<Ref Sect="Basic Groups"/>).
## <P/>
## <Example><![CDATA[
## gap> ReeGroup( 27 );
## Ree(27)
## ]]></Example>
## </Description>
## </ManSection>
## <#/GAPDoc>
##
BindGlobal( "ReeGroup", function ( arg )
if Length(arg) = 1 then
return ReeGroupCons( IsMatrixGroup, arg[1] );
elif IsOperation(arg[1]) then
if Length(arg) = 2 then
return ReeGroupCons( arg[1], arg[2] );
fi;
fi;
Error( "usage: ReeGroup( [<filter>, ] <m> )" );
end );
DeclareSynonym( "Ree", ReeGroup );
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