Hi Everyone Let G be a group with two subgroups H,K and consider the double coset space DC = H\G/K.
Denote by N_G(K) the normalizer of K in G. I am trying to look at the behaviour of elements of DC under the right action of N_G(K), and the left action of N_G(H). These actions are obviously only defined up to elements of the respective underlying subgroups; but even with the full normalizer I have been unable to figure out a "natural" way (other than by element-by-"element" multiplication using the single cosets) to create these actions. Is this action something that exists somewhere that I haven't been able to dig out? Thanks a lot!! Gary _______________________________________________ Forum mailing list Forum@mail.gap-system.org http://mail.gap-system.org/mailman/listinfo/forum
