Geodesic
Permutation Functions on a Finite Field
Canadian mathematical bulletin, Tome 15 (1972) no. 4, pp. 595-597

Voir la notice de l'article provenant de la source Cambridge University Press

Using a well-known theorem of Burnside on permutation groups of prime degree we offer new and simplified proofs of Theorems A, B, B' below for the case q=p a prime. 
Bruen, Aiden. Permutation Functions on a Finite Field. Canadian mathematical bulletin, Tome 15 (1972) no. 4, pp. 595-597. doi: 10.4153/CMB-1972-103-3
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[1] 1. Carlitz, L., A theorem on permutations in a finite field, Proc. Amer. Math. Soc. 11 (1960), 456-459. Google Scholar

[2] 2. McConnel, R., Pseudo ordered polynomials over a finite field, Acta Arith. 8 (1963), 127-151. Google Scholar

[3] 3. Ostrom, T. G., Vector spaces and construction of finite projective planes, Arch. Math. 19 (1968), 1-25. Google Scholar

[4] 4. Passman, D. S., Permutation groups. Benjamin, New York, 1968. Google Scholar

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