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Inner Automorphism Group


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

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

where sigma_a is an automorphism of G defined by

 sigma_a(x)=axa^(-1).

See also

Automorphism, Automorphism Group

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Cite this as:

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

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