Let G be a group, Let h, k G and let : Z x Z
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Let G be a group, Let h, k ∈ G and let ∅: Z x Z → G be defined by ∅(m, n) = hmkn. Give a necessary and sufficient condition, involving hand k, for ∅ to be a homomorphism. Prove your condition.
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We have 1 0 h 1 k 0 h and 0 1 h 0 k 1 k Let be a homomorphism Using addition notation in Z Z as usu...View the full answer
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