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Math Help - Cyclic Group

  1. #1
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    Cyclic Group

    Moved to abstract algebra... Sorry
    Last edited by jzellt; October 31st 2010 at 07:29 PM. Reason: wrong thread
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  2. #2
    MHF Contributor Drexel28's Avatar
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    Quote Originally Posted by jzellt View Post
    Let G1 and G2 be groups and let f: G1 -> G2 be an isomorphism.
    If G1 is a cyclic group with generator a, prove that G2 is also a cyclic group, with generator f(a).

    Can someone please show this proof? Thanks so much!!!
    This isn't analysis. But, if g\in G_2 then g=f\left(a^n\right)=f^n(a) for some n\in\mathbb{N}.
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  3. #3
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    Thanks and sorry. I didn't mean to put it in this forum
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