Let G be a group and g ? G. Define a map ig : G ? G by ig(x) = gxg?1 . Prove that ig defines an automorphism of G. Such an automorphism is called 1 an inner automorphism. The set of all inner automorphisms is denoted by Inn(G). solutionspile.com

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Let G be a group and g ? G. Define a map ig : G ? G by ig(x) = gxg?1 . Prove that ig defines an automorphism of G. Such an automorphism is called 1 an inner automorphism. The set of all inner automorphisms is denoted by Inn(G).  solutionspile.com

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