# Math Help - G/H

1. ## G/H

If G is a cylic group, and H is a subgroup of G, show that G/H is also cyclic. And show that if G is abelian, then G/H is abelian too.

2. Originally Posted by GTK X Hunter
If G is a cylic group, and H is a subgroup of G, show that G/H is also cyclic. And show that if G is abelian, then G/H is abelian too.
Hint for part 1: What happens to the generating element if it is contained in $H$? What if it is not?

For part 2, what have you done for it?