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Math Help - Homomorphism

  1. #1
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    Question Homomorphism

    If G is abelian and φ; G -> G'' is a homomorphism of G onto G''.Prove that G'' is abelian
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  2. #2
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    Quote Originally Posted by Godisgood View Post
    If G is abelian and φ; G -> G'' is a homomorphism of G onto G''.Prove that G'' is abelian

    Let x,y be in G'' ==> there exist a,b in G s.t. F(a) = x and F(b) = y, so:

    xy = F(a)F(b) = F(ab) = F(ba) =...end the argument.

    Tonio
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  3. #3
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    Quote Originally Posted by tonio View Post
    Let x,y be in G'' ==> there exist a,b in G s.t. F(a) = x and F(b) = y, so:

    xy = F(a)F(b) = F(ab) = F(ba) =...end the argument.

    Tonio
    Thanks Tonio
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