6. Let G be a group. An isomorphism from G to G is called an automorphism of G. The set of all automorphisms of G is denoted by Aut G. Prove the following statements. (a) Aut G is a group under composition. (b) For each g € G, the mapping ag: GG defined by ag(x) = gxg-¹ is an automorphism of G.

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