Finite simple groups acting with fixity 4 and their occurrence as groups of automorphisms of Riemann surfaces

2024/12/08 by Salfeld, Patrick, Waldecker, Rebecca
#FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2412.05985

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.

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