Let G be a group and let Z G be its centre Prove that if G Z G is cyclic then G is abelian Hint If G Z G is cyclic prove that a

Question

Let G be a group and let Z G be its centre Prove that if G Z G is cyclic then G is abelian Hint If G Z G is cyclic prove that a generator gives rise to an element outside Z G which commutes with all elements of G

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