1. Prove that the products ab and ba are conjugate elements in a group 2. prove that the set Aut G of automorphism of a group G forms a group, the law of composition being composition of functions could anyone please help me ?
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1. Multiply $\displaystyle ab$ on the left by $\displaystyle a^{-1}$ and on the right by $\displaystyle a$ and you get …? 2. Verify all the group axioms for $\displaystyle \mathrm{Aut}(G).$
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