Show that if a finite group G has exactly one subgroup H of a given order, then

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Show that if a finite group G has exactly one subgroup H of a given order, then H is a normal 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: Jan 02, 2023 04:46 AM

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Show that if a finite group G has exactly one subgroup H of a given order, then

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Let g G Because the inner automorphism i g G G is a onetoo...View the full answer

A First Course In Abstract Algebra

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