Q21. prove that the kernel and image of a homomorphism are subgroups. 021. let g be a group and o: gg be the map o(x) = x'. show that is bijective. prove that i

Q21. Prove that the kernel and image of a homomorphism are subgroups. 021. Let G be a group and o: GG be the map o(x) = x'. Show that is bijective. Prove that is an isomorphism if and only if G is abelian.