Let H be a normal subgroup of a group G, and let m = (G : H).

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Let H be a normal subgroup of a group G, and let m = (G : H). Show that a^m ∈ H for every a ∈ 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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Let H be a normal subgroup of a group G, and let m = (G : H).

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We have GH m Because the order of each elem...View the full answer

A First Course In Abstract Algebra

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