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.

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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 $\displaystyle H$? What if it is not? For part 2, what have you done for it?

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