Title

Permutation Polynomials on Symmetric Matrices

Department

Mathematics

Document Type

Article

Publication Date

7-15-1999

Abstract

This paper contains a general characterization for the permutation polynomials of the symmetric matrices over any field. Specific characterizations are for symmetric matrices over algebraically closed fields, principal axis fields, and finite fields. In the latter case enumeration formulas are established as well. More general results concerning permutation polynomials on sets other than the symmetric matrices are sometimes stated.