Please view the posters presented at the 18th Annual CityTech Faculty and Student Research Poster Session below. You can click on each poster to enlarge it and view the PDF version under the poster abstract.

We thank all presenters for sharing their innovative and informative research with the CityTech community and beyond!

33. RĀ“edei Permutations with Cycles of the Same Length

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Let Fq be a finite field of odd characteristic. We study RĀ“edei functions that induce permutations over P1(Fq) whose cycle decomposition contains only cycles of length 1 and j, for an integer j ā‰„ 2. When j is a prime number, we give necessary and sufficient conditions for a RĀ“edei permutation of this type to exist over P1(Fq), characterize RĀ“edei permutations consisting of 1and j-cycles, and determine their total number. We also present explicit formulas for RĀ“edei involutions based on the number of fixed points. View or download a PDF version of this poster.