Question
1*. Let f G
H be a group homomorphism. Prove:
(a) If l is the identity of G then /(lg) is the identity of H
(b) If x E G then f(x1) = f(x)-1

Image Transcription

1*. Let f G H be a group homomorphism. Prove: (a) If l is the identity of G then /(lg) is the identity of H (b) If x E G then f(x1) = f(x)-1

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