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

preprint2020arXivOpen access

Recently, rational functions of degree three that permute the projective line $\Bbb P^1(\Bbb F_q)$ 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 $\Bbb P^1(\Bbb F_q)$ .

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

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