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(Solved): 11. Let G be a simple group of order p'm, where r 1, m > 1 and m is not divisible by p. Let n = ...
11. Let G be a simple group of order p'm, where r? 1, m > 1 and m is not divisible by p. Let n = n, be the number of Sylow p-subgroups of G. If H = NG(P) is the normalizer of a Sylow p-subgroup of G, then [G: H] = n.