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Math Help - cyclic

  1. #1
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    cyclic

    Prove: Let q be a prime. Then every finite group of cardinality q is cyclic
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  2. #2
    MHF Contributor Bruno J.'s Avatar
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    Hint : consider the subgroup generated by an element other than the identity. Use Lagrange's theorem to show that it must have order q, and thus generates the whole group as a cyclic group.
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