Prove that a cyclic group is abelian
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Prove that a cyclic group is abelian.
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- Show that a group of order 4 either is cyclic or is isomorphic to the Klein four group e,a,b,ab=ba.9. Suppose that and are subgroups of the abelian group such that . Prove that .Prove that if r and s are relatively prime positive integers, then any cyclic group of order rs is the direct sum of a cyclic group of order r and a cyclic group of order s.