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Prove that if G is a group of order p2 (p a prime) and G is not cyclic, then aP = e for

Chapter 17, Problem 17.24

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QUESTION:

Prove that if G is a group of order p2 (p a prime) and G is not cyclic, then aP = e for eacha E G

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QUESTION:

Prove that if G is a group of order p2 (p a prime) and G is not cyclic, then aP = e for eacha E G

ANSWER:

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Let's assume that  is a group, not cyclic, and  where  is a prime. Also, . We will prove that

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