Let G be a finite group. Show that if for each positive integer m the number of

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Let G be a finite group. Show that if for each positive integer m the number of solutions x of the equation x^m = e in G is at most m, then G is cyclic.

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A First Course In Abstract Algebra

ISBN: 9780201763904

7th Edition

Authors: John Fraleigh

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Question Posted: Dec 30, 2022 03:12 AM

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Let G be a finite group. Show that if for each positive integer m the number of

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Let d be a divisor of n G Now if G contains a subgroup of order d ...View the full answer

A First Course In Abstract Algebra

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