Question: 4. Let G be a group and let a e G. Let C = (@) be the cyclic group generated by a (and no relations

4. Let G be a group and let a e G. Let C = (@) be
4. Let G be a group and let a e G. Let C = (@) be the cyclic group generated by a (and no relations on c). Prove that there exists a unique homomorphism o : ( - G such that o(@) = a

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