Rational functions of Degree Four that Permute the Projective Line over a Finite Field

2020/05/14 by Hou, Xiang-dong · 1 citation
#11R58 #11T06 #14H05 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2005.07213

Abstract

Recently, rational functions of degree three that permute the projective line \Bbb P¹(\Bbb F_q) over a finite field \Bbb F_q were determined by Ferraguti and Micheli. In the present paper, using a different method, we determine all rational functions of degree four that permute the \Bbb P¹(\Bbb F_q).

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