Examine-sylow theorem


Question:

Sylow Theorem Examined

Let G be a group so that |G|=p2qn, for p, q primes with q > p >=3. Show that G is not simple. Hint: Look at the q-Sylow subgroups. There cannot be p of them so what happens if there are P2 of them?

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Algebra: Examine-sylow theorem
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