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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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
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Related Book For
Algebra Graduate Texts In Mathematics 73
ISBN: 9780387905181
8th Edition
Authors: Thomas W. Hungerford
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