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General Algebra Question

  1. Nov 7, 2007 #1

    JasonRox

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    The actual question is irrelevant. What I need to know is what are they actually asking me to do!

    I'll write the question. I can probably solve it myself. Maybe I'm just too tired to think. I will ask my prof. during seminar on Monday anyways, but I'd rather not because he would problem just solve it and I don't want that.

    The question is...

    Let N be normal in G and let f:G->H be a homomorphism whose kernel contains N. Show that f induces a homomorphism f*:G/N->H by f*(Na) = f(a).

    Do I only need to show that f* is well-defined and that f* is in fact a homomorphism?
     
  2. jcsd
  3. Nov 7, 2007 #2
    Yup just show it's well defined and that it's a homomorphism.
     
  4. Nov 7, 2007 #3

    JasonRox

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    Perfect. That's all I needed to know.
     
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