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Complete group

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  1. a group G is said to be complete if every automorphism of G is inner, and the group is a centerless group

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on March 2, 2009
  2. Assume that a group G is a group extension given as a short exact sequence of groups with kernel N and quotient G'

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on March 2, 2009
  3. a term from mathematics

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on March 2, 2009
  4. that is, it has a trivial center

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on March 2, 2009
  5. Equivalently, if the conjugation map G → \mboxAut(G) (sending an element g to conjugation by g) is an isomorphism: 1-to-1 corresponds to centerless, onto corresponds to no outer automorphisms

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on March 2, 2009
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