Scalar polynomial functions on the nonsingular matrices over a finite field

DOI10.1016/0024-3795(92)90037-BzbMath0762.15009OpenAlexW2054927479MaRDI QIDQ1195328

Gary L. Mullen, Joel V. Brawley

Publication date: 26 October 1992

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

Full work available at URL: https://doi.org/10.1016/0024-3795(92)90037-b

zbMATH Keywords

finite fieldnonsingular matriceslinear matrix groupscalar polynomial

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Matrices over function rings in one or more variables (15A54)

Cites Work

• Unnamed Item
• Cycles of linear permutations over a finite field
• Polynomials which permute the matrices over a field
• Permutation polynomials on matrices
• Partitions with ``d(a) copies of a
• 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
• Linear transformations of a finite field
• Polynomials and linear transformations over finite fields.
• On the Geometry of Numbers in Elementary Number Theory

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