Permutation polynomials on symmetric matrices

✍ Scribed by Timothy C. Teitloff

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 109 KB
• Volume: 296
• Category: Article
• ISSN: 0024-3795
• DOI: 10.1016/s0024-3795(99)00132-9

✦ Synopsis

This paper contains a general characterization for the permutation polynomials of the symmetric matrices over any ®eld. Speci®c characterizations are for symmetric matrices over algebraically closed ®elds, principal axis ®elds, and ®nite ®elds. 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.