[GAP Forum] multiplication tables of double coset representatives

[Charles Wright]

Dear Poola Singla,

For what it's worth, you might find some related (non-GAP) ideas in my 
1969 article "On the Multiplication Group of a Loop", Illinois Journal 
of Mathematics, vol.13, No.4.

Good luck,

Charles Wright

On 2/13/11 2:16 AM, Pooja Singla wrote:
> Dear forum members,
>
>      I would like to know if Gap has some package to answer the following
> question:
>
> Let G be a finite group with a fixed subgroup H. Let Ha_1H, Ha_2H,..., Ha_nH
>
> be the complete set of representatives of H\G/H. Then is it possible to
> determine
> the multiplication tables Ha_i H.Ha_j H in terms of H a_k H (1 \leq i,j,k
> \leq n)?
>
> Any help in this regard will be very useful.
>
> Thanks,
> Pooja.
>
>
>