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$Old$ November 14th, 2009, 09:25 PM

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Prove: Let q be a prime. Then every finite group of cardinality q is cyclic

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$Old$ November 14th, 2009, 10:16 PM

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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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