If m is a homomorphism of G onto G' and N is a normal subgroup of G, show that m(N) is a normal subgroup of G'.
Please show steps, thanks!
I will give you a hint for this problem. In general if is a homorphism and is a normal subgroup of then is a normal subgroup of . Prove this version. Then note if is onto then and so is a normal subgroup of .
Show your work I do not want to help if you do not show your work.