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# Group theory problem (Herstein, problem set 2.12, problem 13)

If G is of order (p^2)q, p, q primes, prove that G has a non-trivial normal subgroup.

This problem is taken from Herstein. (Problem 14 is also related - prove that p-sylow and q-sylow subgroup must be normal in G).

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- Anonymous1 decade agoFavorite Answer
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Steve

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