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Thread: G/H

  1. #1
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    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.
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  2. #2
    MHF Contributor Swlabr's Avatar
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    Quote Originally Posted by GTK X Hunter View Post
    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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