Answer to Question #118522 in Abstract Algebra for Jflows

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