Thread: Prove Cyclic

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

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.