Inner Automorphism

An inner automorphism of a group G is an automorphism of the form phi(g)=h^(-1)gh, where h is a fixed element of G.

The automorphism of the symmetric group S_3 that maps the permutation (123) to (132) is an inner automorphism, since (132)=(12)(123)(12).

See also

Automorphism, Outer Automorphism

This entry contributed by David Terr

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Terr, David. "Inner Automorphism." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein.

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