Permutation Polynomials: A Matrix Analogue of Schur′s Conjecture and a Survey of Recent Results

✍ Scribed by G.L. Mullen

• Publisher: Elsevier Science
• Year: 1995
• Tongue: English
• Weight: 823 KB
• Volume: 1
• Category: Article
• ISSN: 1071-5797
• DOI: 10.1006/ffta.1995.1020

✦ Synopsis

We consider a matrix analogue of Schur's conjecture concerning permutation polynomials induced by polynomials with integral coefficients. For any fixed integer (m \geq 1) we consider polynomials with integral coefficients which induce permutations on the ring of all (m \times m) matrices over the finite field (F_{p}) for infinitely many primes (p). We also provide a survey of recent results concerning permutation polynomials over finite fields. 1995 Academic Press, Inc.