Let G be a group, h an element of G, and n a positive integer. Let
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Let G be a group, h an element of G, and n a positive integer. Let ∅ : Zn → G be defined by ∅(i) = hi for 0 ≤ i ≤ n. Give a necessary and sufficient condition (in terms of h and n) for ∅ to be a homomorphism. Prove your assertion.
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The map is a homomorphism if and only if h n e the identity i...View the full answer
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