Let φ : G → H be any group homomorphism. Prove that φ is 1-1 if...

Question

Question

Let φ : G → H be any group homomorphism. Prove that φ is 1-1 if and only if ker(φ) = {e}.

Answer 1

Answer #1

proof suppose the - suppose the homomorphism f G H is one-one. Then sinte f is a group homomorphism, the identity element q A

Answer 2

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