For any group G prove that G is abelian if and only if (ab)2 = a2b2 for

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For any group G prove that G is abelian if and only if (ab)2 = a2b2 for all a, b ∈ G.

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Discrete and Combinatorial Mathematics An Applied Introduction

ISBN: 978-0201726343

5th edition

Authors: Ralph P. Grimaldi

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Question Posted: Jun 21, 2016 09:07 AM

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For any group G prove that G is abelian if and only if (ab)2 = a2b2 for

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Proof Suppose that G is abelian and that a b G Then ab 2 ab ab a ba b a ab b aa bb a 2 ...View the full answer

Discrete and Combinatorial Mathematics An Applied Introduction

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