Scalar polynomial functions on the nonsingular matrices over a finite field
Copyright policy )Scalar polynomial functions on the nonsingular matrices over a finite field
For the general linear matrix group \(GL(n,q)\) over the finite field \(F_ q\) the authors consider mappings \(f:GL(n,q)\to GL(n,q)\) which can be represented by a scalar polynomial \(f(x)\in F[x]\). Amongst others they characterize such mappings. Some special cases are considered.
- University of Pennsylvania United States
- Clemson University United States
- Pennsylvania State University United States
Numerical Analysis, Algebra and Number Theory, Matrices over special rings (quaternions, finite fields, etc.), Matrices over function rings in one or more variables, linear matrix group, Discrete Mathematics and Combinatorics, scalar polynomial, Geometry and Topology, finite field, nonsingular matrices
Numerical Analysis, Algebra and Number Theory, Matrices over special rings (quaternions, finite fields, etc.), Matrices over function rings in one or more variables, linear matrix group, Discrete Mathematics and Combinatorics, scalar polynomial, Geometry and Topology, finite field, nonsingular matrices
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