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Math Help - Ring homomorphism

  1. #1
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    Ring homomorphism

    Let f: C -> C be a ring homomorphism.

    Show there exists a unique element b in Z/nZ s.t.:

    f[e^((2pi*i)(m/n))]=e^((2pi*i)(mb/n))
    Last edited by brisbane; March 28th 2010 at 05:51 PM.
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  2. #2
    MHF Contributor Drexel28's Avatar
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    Quote Originally Posted by brisbane View Post
    Let f: C -> C be a ring homomorphism, and x be an element of G and let n be the order of x.

    Show there exists a unique element b in Z/nZ s.t.:

    f[e^((2pi*i)(m/n))]=e^((2pi*i)(mb/n))
    What is G?
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  3. #3
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    Whoops, G is a finite group and we don't know whether or not it is irreducible.
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  4. #4
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    Bump?

    Edit: I've fixed the problem as well because it made no sense the way I had written it before
    Last edited by brisbane; March 28th 2010 at 05:52 PM.
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