Finite group actions on bordered surfaces of small genus

DOI10.1016/j.jpaa.2010.02.020zbMath1209.30016OpenAlexW2085200573MaRDI QIDQ989072

Błażej Szepietowski, Bujalance, Emilio, Francisco-Javier Cirre, Marston D. E. Conder

Publication date: 27 August 2010

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2010.02.020

zbMATH Keywords

Klein surfacesFinite group\(NEC\) groups

Mathematics Subject Classification ID

Klein surfaces (30F50) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Group actions on manifolds and cell complexes in low dimensions (57M60)

Related Items (9)

Groups of automorphisms of Riemann and Klein surfaces, our joint work with Marston Conder ⋮ On topological type of periodic self-homeomorphisms of closed non-orientable surfaces ⋮ On classification of cyclic orientation-reversing actions of big order on closed surfaces ⋮ The full group of automorphisms of non-orientable unbordered Klein surfaces of topological genus 3, 4 and 5. ⋮ Groups of automorphisms of bordered non-orientable Klein surfaces of topological genus 3 ⋮ Uniqueness of orientation-preserving free actions of finite abelian groups on surfaces ⋮ Branes through finite group actions ⋮ Torsion normal generators of the mapping class group of a nonorientable surface ⋮ ON TOPOLOGICAL CLASSIFICATION OF FINITE CYCLIC ACTIONS ON BORDERED SURFACES

Uses Software

• Magma

Cites Work

• Unnamed Item
• Unnamed Item
• Classifying finite group actions on surfaces of low genus
• Topological classification of conformal actions on \(pq\)-hyperelliptic Riemann surfaces
• Automorphism groups of algebraic curves of \(R^ n\) of genus 2
• Automorphism groups of real algebraic curves of genus 3
• Automorphism groups of compact bordered Klein surfaces. A combinatorial approach
• Classifying the actions of finite groups on orientable surfaces of genus 4
• The Magma algebra system. I: The user language
• Classification of automorphism groups, up to topological equivalence, of compact Riemann surfaces of genus 4
• Hyperelliptic surfaces and their moduli
• Mapping class groups of nonorientable surfaces
• On the outer automorphism group of a hyperbolic group
• Topological classification of conformal actions on elliptic-hyperelliptic Riemann surfaces
• Curves von 2-manifolds and isotopies
• Foundations of the theory of Klein surfaces
• A Remark on Nec Groups Representing Surfaces with Boundary
• Subvarieties of Moduli Space Determined by Finite Groups Acting on Surfaces
• On Mapping-Class Groups and Teichmüller Spaces
• Generating functions for finite group actions on surfaces
• Applications and adaptations of the low index subgroups procedure
• The Classification of Non-Euclidean Plane Crystallographic Groups

This page was built for publication: Finite group actions on bordered surfaces of small genus