Let G be a group and let SG be the set of all permutations on G. For each g G, define kg : G →G as kg(a) = gag¯¹, for all a € G. Let Z = {g € G | ga = ag, for all a E G}. Prove that ZG and that G/Z≈ I(G).

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Q: Let G be a group and let SG be the set of all permutations on G. For each g € G, define kg : G → G…

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