hey, G is a group such that o(G) = 36. Then is G abelian. I knw that if o(G) = p^2 where p is a prime, then G is abelian. But here o(G)=2^2 * 3^2. So what can I say about G.
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This is no pre-university math. Observe that G has sylow-p subgroups , which are as you stated abelian. Since both groups are abelian we have and . Now it follows that . ( trivially it follows that G is abelian)
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