Polynomials over finite fields which commute with translations
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- by Charles Wells PDF
- Proc. Amer. Math. Soc. 46 (1974), 347-350 Request permission
Abstract:
The polynomials over a finite field which commute with translation by an element of the field are characterized. A generalization of a long-known theorem about centralizers of permutations is used in obtaining the characterization.References
- W. Burnside, Theory of groups of finite order, Dover Publications, Inc., New York, 1955. 2d ed. MR 0069818
- Leonard Eugene Dickson, Linear groups: With an exposition of the Galois field theory, Dover Publications, Inc., New York, 1958. With an introduction by W. Magnus. MR 0104735
- B. H. Neumann, Embedding theorems for semigroups, J. London Math. Soc. 35 (1960), 184–192. MR 163969, DOI 10.1112/jlms/s1-35.2.184
- Charles Wells, The degrees of permutation polynomials over finite fields, J. Combinatorial Theory 7 (1969), 49–55. MR 238812 C. Wells, Some applications of the wreath product (to appear). —, Centralizers of transitive semigroup actions and endomorphisms of trees (to appear).
Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 46 (1974), 347-350
- MSC: Primary 12C05
- DOI: https://doi.org/10.1090/S0002-9939-1974-0347785-5
- MathSciNet review: 0347785