Math Help - Prove G is abelian

1. Prove G is abelian

I can't figure this one out.

Let $G$ be a group of a finite order. and for every $a,b\in{G}$, $(ab)^3=a^3b^3$ and $(o(G),3)=1$. Show $G$ is abelian.

2. What does the notation (o(G), 3) = 1 mean in this problem?

3. sorry, $o(G)$ means the order of $G$, and $(a,b)$ is the gratest common divisor of $a,b$.

So the order of $G$ and 3 do not have a common divisor besides 1.

SK

4. Originally Posted by skyking
I can't figure this one out.

Let $G$ be a group of a finite order. and for every $a,b\in{G}$, $(ab)^3=a^3b^3$ and $(o(G),3)=1$. Show $G$ is abelian.