Finite simple groups acting with fixity 3 and their occurrence as groups of automorphisms of Riemann surfaces

DOI10.1080/00927872.2021.1986835OpenAlexW3211084774MaRDI QIDQ5061612

Patrick Salfeld, Rebecca Waldecker

Publication date: 14 March 2022

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2021.1986835

zbMATH Keywords

fixed pointsRiemann surfacespermutation groupsfinite simple groupsfixity

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Riemann surfaces; Weierstrass points; gap sequences (14H55)

Uses Software

• MapClass

Cites Work

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• Transitive permutation groups where nontrivial elements have at most two fixed points.
• Transitive permutation groups with trivial four point stabilizers.
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• The occurrence of finite simple permutation groups of fixity 2 as automorphism groups of Riemann surfaces
• On Weierstrass points of Hurwitz curves
• The Finite Simple Groups
• Commutators in Finite Simple Groups of Lie Type
• The Character Tables for SL(3, q), SU(3, q²), PSL(3, q), PSU(3, q²)