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Rational functions of degree four that permute the projective line over a finite field

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Abstract Recently, rational functions of degree three that permute the projective line over a finite field were determined by Ferraguti and Micheli. In the present paper, using a different method,… Click to show full abstract

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

Keywords: projective line; line finite; rational functions; functions degree; permute projective

Journal Title: Communications in Algebra
Year Published: 2020

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