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Prove that a cyclic group of prime order p has no non-trivial subgroups.

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Prove that a cyclic group of prime order p has no non-trivial subgroups.

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It is proven that a cyclic group of prime order p has no non-trivial subgroups. The response received a rating of "5/5" from the student who originally posted the question.

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Let G = <x> be a cyclic group of order p, where p is prime.

Then the ...

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