Let a nonempty finite subset H of a group G be closed under the binary operation of

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Let a nonempty finite subset H of a group G be closed under the binary operation of G. Show that H is a subgroup of 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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Show that a nonempty subset H of a group G is a subgroup of G if and only if ab -1 H for all a, b H.
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Let a nonempty finite subset H of a group G be closed under the binary operation of

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Let a H and let H have n elements Then the elements a a 2 a ...View the full answer

A First Course In Abstract Algebra

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