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Polynomial cycles in finite extension fields. (English) Zbl 1028.11014
Let $$K/F$$ be an algebraic field extension. The authors characterize finite orbits of polynomial mappings of $$K$$ which are induced by polynomials over $$F$$. As an application they determine all possible cycle lengths of such orbits in the case of a finite field $$F$$.

##### MSC:
 11C08 Polynomials in number theory 11T06 Polynomials over finite fields
##### Keywords:
polynomial cycle; finite field
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##### References:
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