Let fi: G -> K be a homomorphism. a) Let G be an Abelian group. Prove that fi(G) is Abelian. b) Suppose fi(G) is Abelian

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answerhappygod
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Let fi: G -> K be a homomorphism. a) Let G be an Abelian group. Prove that fi(G) is Abelian. b) Suppose fi(G) is Abelian

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Let fi: G -> K be a homomorphism.
a) Let G be an Abelian group. Prove that fi(G) is Abelian.
b) Suppose fi(G) is Abelian. Is it true that G must be Abelian?
Prove it or give a counterexample.
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