Question

Prove that Every Homomorphic image of an Abelian Group is Abelian .​

Answer 1

Answer:

Let G be an Abelian group and elements a,b belong to G Then f(a)f(b)=f(ab) as f is homomorphic F(ab)=f(ba)=f(b)f(a) so we can say G is abelian

But how do I prove its converse is not true, should I take an example of an abelian group and show it is not homomorphic?Is that sufficient

Step-by-step explanation:

hope it help