Exercise 14 Let G be a group. Which of the following statement(s) is/are true: I. If G is noncyclic, then there exists a proper non-cyclic subgroup of G. II. If a, b E G and Jal and |b| are finite, then Jab| is finite. III. NaeG C(a) = G if and only if G is abelian. (a) I and II only (b) II and III only OIII only (d) II only (e) I and III only

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