Let (G, * ) and (G', o) are two group and \(f : G \to G'\) be a homomorphism then choose the incorrect option?
1
The relation of isomorphism is an equivalence relation.
2
Image of abelian group under homomorphism is abelian.
3
Image of cyclic group under homomorphism is cyclic.
4
If order of f(a) is finite then this implies order of a is also finite. where a is in G.