Thread: Homomorphism

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

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

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