Let G be a group and suppose a G generates a cyclic subgroup of order 2

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Let G be a group and suppose a ∈ G generates a cyclic subgroup of order 2 and is the unique such element. Show that ax = xa for all x ∈ G.

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A First Course In Abstract Algebra

ISBN: 9780201763904

7th Edition

Authors: John Fraleigh

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Question Posted: Dec 26, 2022 07:53 AM

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Let G be a group and suppose a G generates a cyclic subgroup of order 2

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Note that xax 1 e because xax 1 e would imply that xa x and ...View the full answer

A First Course In Abstract Algebra

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