Let 
be a field of field
characteristic 
. Then the Frobenius automorphism on 
is the map 
which maps 
to 
for each element 
of 
.
Frobenius Automorphism
This entry contributed by David Terr
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Terr, David. "Frobenius Automorphism." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/FrobeniusAutomorphism.html