Question: Automorphisms . Let G be a group; for any g , let g : x g x g 1 be the conjugation by G .

Automorphisms. Let G be a group; for any g, let g:xgxg1 be the conjugation by G. Recall that Inn(G)={ggG} is a subgroup of the automorphism group Aut(G).

Show thatInn(G)Aut(G). The quotientAut(G)/Inn(G)is called the group ofouterautomorphismsofG.

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