An inner automorphism of a group is an automorphism of the form , where is a fixed element of .

The automorphism of the symmetric group that maps the permutation to is an inner automorphism, since .

An inner automorphism of a group is an automorphism of the form , where is a fixed element of .

The automorphism of the symmetric group that maps the permutation to is an inner automorphism, since .

*This entry contributed by David Terr*

Terr, David. "Inner Automorphism." From *MathWorld*--A Wolfram Web Resource, created by Eric
W. Weisstein. https://mathworld.wolfram.com/InnerAutomorphism.html