Prove that if a finite abelian group has order a power of a prime p, then the

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Prove that if a finite abelian group has order a power of a prime p, then the order of every element in the group is a power of p. Can the hypothesis of commutativity be dropped? Why, or why not?

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A First Course In Abstract Algebra

ISBN: 9780201763904

7th Edition

Authors: John Fraleigh

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Question Posted: Dec 30, 2022 02:48 AM

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Prove that if a finite abelian group has order a power of a prime p, then the

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By the Theorem of Lagrange the order of an element of a fi...View the full answer

A First Course In Abstract Algebra

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