Question: (12 marks) Let G1 be a group defined on the set Z4 with binary relation, +, addition modulo 4, and let G2 be a group

(12 marks) Let G1 be a group defined on the set Z4 with binary relation, +, addition modulo 4, and let G2 be a group defined on the set 25 - {[0]} with binary relation, ., multiplication modulo 5. (i) (4 marks) Prove that both, G1 and G2, are cyclic and write down generators for each group. (ii) (4 marks) For each of the groups G1 and G2, determine all cyclic subgroups. (iii) (4 marks) Determine whether the groups G1 and G2 are isomorphic. Justify your

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