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 
.
Inner Automorphism
See also
Automorphism, Outer AutomorphismThis entry contributed by David Terr
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Cite this as:
Terr, David. "Inner Automorphism." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/InnerAutomorphism.html