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.
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