This is a preview of subscription content, log in via an institution to check access.
References
L. Carlitz, A theorem on permutations in a finite field. Proc. A. M. S.,11 (1960), 456–459.
L. Carlitz, Permutations in finite fields. Acta Sci. Math. Szeged24 (1963), 196–203.
L. Carlitz, Note on a problem of Dickson. Proc. A. M. S.,14 (1963), 98–100.
L. Carlitz, Functions and polynomials (modp n). Acta Arithmetica,9 (1964), 67–78.
L. Carlitz andC. Wells, The number of solutions of a special system of equations in a finite field. Acta Arithmetica12 (1966), 77–84.
L. E. Dickson, Linear Groups with an Exposition of Galois Field Theory. New York: Dover, 1958.
L. E. Dickson, The analytic representation of substitutions on a power of a prime number of letters with a discussion of the linear group I. Ann. of Math.,11 (1896), 65–120.
H. Lausch, W. Nöbauer andF. Schweiger, Polynompermutationen auf Gruppen, Monatsh. f. Math.,69 (1965), 410–423.
W. Nöbauer, Über Gruppen von Restklassen nach Restpolynomidealen. Sitzungsberichte Akad. Wiss. Wien, Abt. IIa,162 (1953), 207–233.
W. Nöbauer, Gruppen von Restpolynomidealrestklassen nach Primzahlpotenzen. Monatsh. f. Math.,59 (1955), 194–202.
W. Nöbauer, Über Permutationspolynome und Permutationsfunktionen für Primzahlpotenzen. Monatsh. f. Math.,69 (1965), 230–238.
L. Redei, Über eindeutig umkehrbare Polynome in endlichen Körpern. Acta Sci. Math. Szeged,11 (1946), 85–92.
Author information
Authors and Affiliations
Additional information
The author wishes to acknowledge the partial support of the National Science Foundation under Grant Nos. GP-1881 and GP-5624.
Rights and permissions
About this article
Cite this article
Wells, C. Groups of permutation polynomials. Monatshefte für Mathematik 71, 248–262 (1967). https://doi.org/10.1007/BF01298331
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01298331