English

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

Number Theory 2020-08-18 v2

Abstract

Recently, rational functions of degree three that permute the projective line P1(Fq)\Bbb P^1(\Bbb F_q) over a finite field Fq \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 P1(Fq)\Bbb P^1(\Bbb F_q).

Keywords

Cite

@article{arxiv.2005.07213,
  title  = {Rational functions of Degree Four that Permute the Projective Line over a Finite Field},
  author = {Xiang-dong Hou},
  journal= {arXiv preprint arXiv:2005.07213},
  year   = {2020}
}

Comments

12 pages. Sporadic PRs with small q's are determines. Typos in v1 are corrected