Date: Fri, 14 Mar 1997 15:37:34 +0100 (MET) From: Joao Jorge AraujoSubject: Automorphisms of a wreath product Dear Group-pub-forum, I would be very grateful for comments on the following problem: Let G be a group and S_n the symmetric group on n variables. Let G wr S_n = G^{n} \times S_n with the multiplication defined by (g_1, ... , g_n , a)(h_1, ... , h_n, b) = (g_1 h_{1a}, ..., g_n h_{na},ab). Is it possible to describe Aut(G wr S_n)? Moreover, is it possible to describe Aut(G wr S_X) when X is an infinite set? Thanks, Joao