Problem 2. Let f be a homomorphism from a group G into a group H. Prove that f is one to one if and only if ker f = {e}.

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Problem 2. Let ƒ be a homomorphism from a group G into a group H. Prove that f is one
to one if and only if ker ƒ = {e„}.
Prohle
Transcribed Image Text:Problem 2. Let ƒ be a homomorphism from a group G into a group H. Prove that f is one to one if and only if ker ƒ = {e„}. Prohle
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