[GAP Forum] multiplication tables of double coset representatives

Pooja Singla pooja at math.bgu.ac.il
Sun Feb 13 10:16:50 GMT 2011


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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