Thread: Centers of Groups

If G is a nonabelian group of order 15, then prove that the center contains only one element.

Originally Posted by grad444

If G is a nonabelian group of order 15, then prove that the center contains only one element.

what's the point of proving this when there's no nonabelian group of order 15? every group of order pq with p and q prime, p > q , and p - 1 not divisible by q is abelian (cyclic in fact!).