Master of Science (MS)
Number of Pages
This paper will present the historical development of theorems regarding permutation polynomials in several variables over finite fields. Single variable permutation polynomials will be discussed since they are so important to the discussions which will follow. Theorems involving permutation polynomials and systems of permutation polynomials will also be considered. It will be shown that many of the interesting results obtained for finite fields can be generalized to finite rings.
Finite; Permutation; Polynomials; Rings; Several; System; Variables
University of Nevada, Las Vegas
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Starr, Angela Marie, "Permutation polynomials and systems of permutation polynomials in several variables over finite rings" (2000). UNLV Retrospective Theses & Dissertations. 3133.