Polynomials over finite fields which commute with linear permutations

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

The polynomials over a finite field which commute with an arbitrary linear permutation of the field are characterized. This characterization is obtained through the use of a result from Pólya’s theory of enumeration.

Original languageEnglish (US)
Pages (from-to)315-317
Number of pages3
JournalProceedings of the American Mathematical Society
Volume84
Issue number3
DOIs
StatePublished - Jan 1 1982

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Commute
Enumeration
Galois field
Permutation
Polynomials
Polynomial
Arbitrary

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

Cite this

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title = "Polynomials over finite fields which commute with linear permutations",
abstract = "The polynomials over a finite field which commute with an arbitrary linear permutation of the field are characterized. This characterization is obtained through the use of a result from P{\'o}lya’s theory of enumeration.",
author = "Mullen, {Gary Lee}",
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Polynomials over finite fields which commute with linear permutations. / Mullen, Gary Lee.

In: Proceedings of the American Mathematical Society, Vol. 84, No. 3, 01.01.1982, p. 315-317.

Research output: Contribution to journalArticle

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