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Math Help - Homomorphism Proof.

  1. #1
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    Lightbulb Homomorphism Proof.

    From Herstein's Abstract Algebra. Section 2.7 #7



    If φ is a homomorphism of G onto G' and N ◅ G, show that φ(N) ◅ G.
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  2. #2
    MHF Contributor Drexel28's Avatar
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    Re: Homomorphism Proof.

    Quote Originally Posted by ThatPinkSock View Post
    From Herstein's Abstract Algebra. Section 2.7 #7



    If φ is a homomorphism of G onto G' and N ◅ G, show that φ(N) ◅ G.
    You want to prove that if k\in G' then k\varphi(N)k^{-1}=\varphi(N), but k=\varphi(n) for some n....so?


    P.S. Nice name.
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