Let H 0 = {e} < H 1 < < H n = G be a
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Let H0 = {e} < H1 < ··· < Hn = G be a composition series for a group G. Let N be a normal subgroup of G, and suppose that N is a simple group. Show that the distinct groups among H0, HiN for i = 0,··· , n also form a composition series for G.
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We show that H i1 N is normal in H i N Let h i1 n1 Hi1N and hin2 H i N ...View the full answer
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