Work

Finite simple permutation groups acting with fixity 4

Year: 2024

Type: article

Abstract: Motivated by the theory of Riemann surfaces and specifically the significance of Weierstrass points, we classify all finite simple groups that have a faithful transitive action with fixity 4. We also give details about all possible such actions.

Source: Journal of Group Theory

DOI: 10.1515/jgth-2023-0045

Authors: Barbara Baumeister, Paula Hähndel, Kay Magaard, Patrick Salfeld, Rebecca Waldecker

Institutions: Bielefeld University, Martin Luther University Halle-Wittenberg, University of Birmingham

Language: English

Topic: Finite Group Theory Research

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, Deutsche Forschungsgemeinschaft, Division of Mathematical Sciences

Awards: G202495085, G5969482202, TRR 358: Ganzzahlige Strukturen in Geometrie und Darstellungstheorie, Mathematical Sciences Research Institute (MSRI)