2014-20 Abelian group

Let \(G\) be a group such that it has no element of order \(2\) and \[ (ab)^2=(ba)^2\] for all \(a,b\in G\). Prove that \(G\) is abelian.

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2014-20 Abelian group, 4.3 out of 5 based on 6 ratings