Polynomials which permute the matrices over a field

DOI10.1016/0024-3795(87)90291-6zbMath0609.15007OpenAlexW2003501498MaRDI QIDQ1086649

George E. Schnibben, Joel V. Brawley

Publication date: 1987

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(87)90291-6

zbMATH Keywords

finite fieldsnonlinear permutation polynomials

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33)

Related Items (4)

Permutation polynomials on matrices ⋮ Fields that admit a nonlinear permutation polynomial ⋮ Polynomials which permute matrices over commutative antinegative semirings ⋮ Scalar polynomial functions on the nonsingular matrices over a finite field

Cites Work

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• Scalar polynomial functions on the \(n\times n\) matrices over a finite field
• Polynomials over a ring that permute the matrices over that ring
• The number of polynomial functions which permute the matrices over a finite field
• Some studies on cyclic determinants

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