Show that the number of conjugate classes in S n is also the number of different abelian

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Show that the number of conjugate classes in S_n is also the number of different abelian groups (up to isomorphism) of order pⁿ, where p is a prime number.

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A First Course In Abstract Algebra

ISBN: 9780201763904

7th Edition

Authors: John Fraleigh

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Question Posted: Jan 09, 2023 08:34 AM

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Show that the number of conjugate classes in S n is also the number of different abelian

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Exercise 8 shows that the number of conjugate classes in S n is the number pn of partiti...View the full answer

A First Course In Abstract Algebra

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