Show that A n is a normal subgroup of S n and compute S n / A

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Show that A_n is a normal subgroup of S_n and compute S_n/ A_n; that is, find a known group to which S_n/ A_nis isomorphic.

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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 A n is a normal subgroup of S n and compute S n / A

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If n 2 then A n S n 2 so the only cosets of A n are A n and t...View the full answer

A First Course In Abstract Algebra

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