Complete Group
In mathematics, a group G is said to be complete if every automorphism of G is inner, and the group is a centerless group; that is, it has a trivial outer automorphism group and trivial center. Equivalently, a group is complete if the conjugation map (sending an element g to conjugation by g) is an isomorphism: 1-to-1 corresponds to centerless, onto corresponds to no outer automorphisms.
Read more about Complete Group: Examples, Properties, Extensions of Complete Groups
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