Finite simple groups acting with fixity 4 and their occurrence as groups of automorphisms of Riemann surfaces (extended version)

Patrick Salfeld; Rebecca Waldecker

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arXiv · 2412.05985

Finite simple groups acting with fixity 4 and their occurrence as groups of automorphisms of Riemann surfaces (extended version)

Patrick Salfeld·Rebecca Waldecker

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Abstract

In previous work, all finite simple groups that act with fixity 4 have been classified. In this article we investigate which ones of these groups act faithfully on a compact Riemann surface of genus at least 2 with fixity four in total and in such a way that fixity 4 is exhibited on at least one orbit. This is an extended version of the submitted article, including our GAP code.

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Patrick Salfeld, Rebecca Waldecker. 2024-12-08. Finite simple groups acting with fixity 4 and their occurrence as groups of automorphisms of Riemann surfaces (extended version). https://arxiv.org/abs/2412.05985

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