Session S26 - Finite fields and applications

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Finite subgroups of $\operatorname{PGL}(2,K)$

Abraham Rojas

ICMC-USP, Brasil   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

We study the finite subgroups of $\operatorname{PGL}(2,K)$ when $K$ is an algebraically closed field of positive characteristic. For this, we use the theory of Algebraic Function Fields in one variable. We show how this result can be applied to find the automorphism group of Artin-Schreier curves.\\

\textbf{Reference:} \\ VALENTINI, R.; MADAN, M. A Hauptsatz of L.E Dickson and Artin-Schreier extensions. Journal für die Reine und Angewandte Mathematik, n. 318, 1980.

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