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Fields that admit a nonlinear permutation polynomial

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Publication:1119970
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DOI10.1016/0021-8693(89)90038-0zbMath0672.12007OpenAlexW2054589767MaRDI QIDQ1119970

Robert Gilmer, Joel V. Brawley

Publication date: 1989

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(89)90038-0


zbMATH Keywords

permutation polynomial


Mathematics Subject Classification ID

Special polynomials in general fields (12E10)


Related Items (1)

Polynomials which permute matrices over commutative antinegative semirings



Cites Work

  • Jónsson \(\omega _ 0\)-generated algebraic field extensions
  • Polynomials which permute the matrices over a field
  • Scalar polynomial functions on the \(n\times n\) matrices over a finite field
  • Polynomials over a ring that permute the matrices over that ring
  • Differentialrechnung in der analytischen Geometrie
  • Algebraisch-zahlentheoretische Betrachtungen über Ringe. I
  • An Addendum to the Paper Ä Characterization of the n × n Matrices Over a Finite Field"
  • A Characterization of Finite Fields
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