# Math Help - Homomorphism Proof.

1. ## 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.

2. ## Re: Homomorphism Proof.

Originally Posted by ThatPinkSock
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.