For a group G, prove that the function f: G G defined by f(a) = a-1

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For a group G, prove that the function f: G → G defined by f(a) = a-1 is an isomorphism if and only if G is abelian.

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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 09:08 AM

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For a group G, prove that the function f: G G defined by f(a) = a-1

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Let f G G defined by fa a 1 be an isomorphism For all a b G ab 1 ...View the full answer

Discrete and Combinatorial Mathematics An Applied Introduction

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