Let G be non-abelian and |G| = $p^3$ , where p is a prime. Prove that Z(G) = G′ . What is the order of Z(G)?
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2Please include your own thoughts on the problem. Did you do either part? Where did you get stuck? – Tobias Kildetoft Dec 05 '17 at 18:50
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1This has definitely been asked before here. – Pedro Dec 05 '17 at 18:50
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Concerning the order of $Z(G)$, see also this duplicate. – Dietrich Burde Dec 05 '17 at 19:09