396 Let G be a finite group. (i) Show that if G is soluble and G #1 then F(G) +1. (ii) Define subgroups F (G) recursivel
Posted: Tue Sep 07, 2021 7:37 am
396 Let G be a finite group. (i) Show that if G is soluble and G #1 then F(G) +1. (ii) Define subgroups F (G) recursively as follows. Let F.(G)= 1 and, for each positive integer n, let F.(G/F-1(G)= F(G/F - (G)).