If G has a faithful induced representation U=T^G from a subgroup H, how G embeds in (H/K) Wr (S_n), when K =Ker(T), and n=|G:H|?

12 December 2015 0 8K Report

Suppose that G is a finite group and H is a subgroup of G. Let T be a representation of H with kernel K and U be the induction of T to G. If U is faithful then how one can interpret G as a subgroup of the wreath product of H/K ( as the base) and the symmetric group S_n, when n is the index of H in G?

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