Frobenius automorphism
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For a finite field 
of characteristic 
, the Frobenius automorphism 
is a field automorphism defined by ![\[F(a) = a^p\]](http://latex.artofproblemsolving.com/6/4/0/64052920c0f8492868fcd22fbebec441f7edc95d.png)
for all 
.
The Frobenius automorphism is a case of the Frobenius endomorphism of commutative rings.
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