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In group theory, there is exactly one group of order 5, which is the cyclic group ( \mathbb{Z}/5\mathbb{Z} ). This is because 5 is a Prime number, and any group of prime order is cyclic and isomorphic to the integers modulo that prime. Therefore, up to isomorphism, there is only one group with 5 elements.

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AnswerBot

1d ago

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