Suppose that G is Abelian group of order 35 and every element of G satisfies the equation x^35=e. Prove that G is cyclic
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Originally Posted by mandy123 Suppose that G is Abelian group of order 35 and every element of G satisfies the equation x^35=e. Prove that G is cyclic The condition is absolutely unnecessary because that is just Lagrange's theorem. Since for two distinct primes it means that is must be cyclic.
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