Permutation polynomials and group permutation polynomials (Q2716961)

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scientific article; zbMATH DE number 1599687
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Permutation polynomials and group permutation polynomials
scientific article; zbMATH DE number 1599687

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    Permutation polynomials and group permutation polynomials (English)
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    16 May 2001
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    permutation polynomials
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    finite fields
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    group permutation polynomials
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    The authors look at permutation polynomials of the form \(x^r f(x^s)\) over finite fields of \(q\) elements with \(s|(q-1)\). Their main goal is to give a group theoretic criterion for this family. They indicate how this leads in a canonical way to the concept of group permutation polynomials of a subgroup of \(F_q^*\).
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