Inner Automorphism Group

A particular type of automorphism group which exists only for groups. For a group , the inner automorphism group is defined by

$Inn(G)={sigma_a:a in G} subset Aut(G)$

where is an automorphism of defined by

See also

Automorphism, Automorphism Group

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Weisstein, Eric W. "Inner Automorphism Group." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/InnerAutomorphismGroup.html

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