let : G G' be an isomorphism of a group ( G, *) with a group

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let ∅: G → G' be an isomorphism of a group ( G, *) with a group ( G', *'). Write out a proof to convince a skeptic of the intuitively clear statement.

If G is cyclic, 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 26, 2022 08:11 AM

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let : G G' be an isomorphism of a group ( G, *) with a group

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Let a be a generator of G We claim a is a genera...View the full answer

A First Course In Abstract Algebra

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