Let G be a group containing an element a not of order 1 or 2. Show that

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Let G be a group containing an element a not of order 1 or 2. Show that G has a nonidentity automorphism.

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Algebra Graduate Texts In Mathematics 73

ISBN: 9780387905181

8th Edition

Authors: Thomas W. Hungerford

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Question Posted: Apr 15, 2023 03:51 AM

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Let G be a group containing an element a not of order 1 or 2. Show that

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ANSWER Since a is not of order 1 or 2 we know that a and a1 are distinct elements in G Let us define an automorphism phi of G as follows phia a1 phix ...View the full answer

Algebra Graduate Texts In Mathematics 73

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