Let .G; / be a group. Prove that G is Abelian if and only if .g h/1 D g 1 h 1 for all g;

Chapter 40, Problem 40.17

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Let .G; / be a group. Prove that G is Abelian if and only if .g h/1 D g 1 h 1 for all g; h 2 G. 40

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