# Math Help - Homomorphism

1. ## Homomorphism

If G is abelian and φ; G -> G'' is a homomorphism of G onto G''.Prove that G'' is abelian

2. Originally Posted by Godisgood
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

3. Originally Posted by tonio
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