Scalar polynomial functions on the \(n\times n\) matrices over a finite field
From MaRDI portal
Publication:1217756
DOI10.1016/0024-3795(75)90069-5zbMath0307.15004OpenAlexW2069926089MaRDI QIDQ1217756
Jack Levine, Leonard Carlitz, Joel V. Brawley
Publication date: 1975
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0024-3795(75)90069-5
Matrices over special rings (quaternions, finite fields, etc.) (15B33) Polynomials over finite fields (11T06) Algebraic systems of matrices (15A30)
Related Items (19)
Permutation polynomials of Abelian group rings over finite fields ⋮ Polynomials which permute the matrices over a field ⋮ Properly integral polynomials over the ring of integer-valued polynomials on a matrix ring ⋮ In Memory of Jack Levine (1907–2005) ⋮ Permutation polynomials on matrices ⋮ Vandermonde independent matrices, basic sets, and polynomial matrix functions over a finite field ⋮ Fields that admit a nonlinear permutation polynomial ⋮ Integer-valued polynomials over matrix rings of number fields ⋮ A note on polynomial matrix functions over a finite field ⋮ Int-decomposable algebras ⋮ Integer-Valued Polynomials on Algebras: A Survey of Recent Results and Open Questions ⋮ Compositional attractors and enumeration of permutation polynomials over finite fields ⋮ Scalar polynomial functions on the nonsingular matrices over a finite field ⋮ POLYNOMIALS THAT KILL EACH ELEMENT OF A FINITE RING ⋮ Non-triviality conditions for integer-valued polynomial rings on algebras ⋮ Polynomials over a ring that permute the matrices over that ring ⋮ The number of polynomial functions which permute the matrices over a finite field ⋮ A Class of Exceptional Polynomials ⋮ Split Quaternions and Integer-valued Polynomials
Cites Work
This page was built for publication: Scalar polynomial functions on the \(n\times n\) matrices over a finite field