[GAP Forum] Error in Function RightTransversal( , )

[Marcus Bishop]

Hi Vivik. GAP multiplies from left to right, so the other element in
the coset u(2,4) is
(1,2)(3,4)(2,4)=(1,4,3,2)
and not (1,2,3,4).
-marKus

On 4/21/08, Vivek Jain <jaijinenedra at yahoo.co.in> wrote:
>
>
>   gap> g:=Group((1,2,3,4),(1,2)(3,4));
> Group([ (1,2,3,4), (1,2)(3,4) ])
> gap> u:=Subgroup(g,[(1,2)(3,4)]);
> Group([ (1,2)(3,4) ])
> gap> rt:=RightTransversal(g,u);
> RightTransversal(Group([ (1,2,3,4), (1,2)(3,4) ]),Group([ (1,2)(3,4) ]))
> gap> List(rt);
> [ (), (2,4), (1,2,3,4), (1,3)(2,4) ]
>
>   In above program rt is not actualy a right transversal
>   for (1,2,3,4) and (2,4) are in same right coset.
>
>
> Vivek Kumar Jain
>   Dept. of Mathematics
>   Univ. of Allahabad
>   Allahabad-211002
>   India
>
>
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