Let N be a normal subgroup of G and let H be any subgroup of G. Let

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Let N be a normal subgroup of G and let H be any subgroup of G. Let HN = { hn | h∈ H, n ∈ N}. Show that H N is a subgroup of G, and is the smallest subgroup containing both N and H.

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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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Let N be a normal subgroup of G and let H be any subgroup of G. Let

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Closure Let h 1 n 1 h 2 n 2 HN where h 1 h 2 H and n 1 n 2 N Beca...View the full answer

A First Course In Abstract Algebra

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