Finite simple permutation groups acting with fixity 4

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.

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Publication Details

Journal
Journal of Group Theory
Published
2024-09-16
DOI
https://doi.org/10.1515/jgth-2023-0045
Citations
1
Primary Topic
Finite Group Theory Research
Type
article
Field-Weighted Citation Impact
1.32

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article

Finite simple permutation groups acting with fixity 4

Paula Hähndel, Kay Magaard, Patrick Salfeld, Rebecca Waldecker et al.
1 citations
Journal of Group Theory
Finite Group Theory Research
1.32
article

Finite simple permutation groups acting with fixity 4

Paula Hähndel, Kay Magaard, Patrick Salfeld, Rebecca Waldecker, Barbara Baumeister
article en
1 citations

Abstract

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.

Journal of Group Theory
Bielefeld University (DE), Martin Luther University Halle-Wittenberg (DE), University of Birmingham (GB)
National Science Foundation, Deutsche Forschungsgemeinschaft
Openalex Percentile: Top 22%
Finite Group Theory Research
1.32
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