Question

Every cyclic group is

a.Commutative

b.Distributive

c.Multiplicative

d.Additive

Answer 1

Since $a^ma^n=a^na^m$ for every $a^m\in\langle a\rangle$ and $a^n\in\langle a\rangle$, we obtain that $\langle a\rangle$ is commutative.

Answer: commutative