The action of the groups \(D_m \times D_n\) on unbordered Klein surfaces

DOI10.1007/s13398-011-0007-9zbMath1238.57023OpenAlexW2048588008MaRDI QIDQ542062

Ernesto Martínez, José Javier Etayo Gordejuela

Publication date: 8 June 2011

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-011-0007-9

zbMATH Keywords

Klein surfacesStrong symmetric genusSymmetric crosscap number

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) 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 (4)

The full group of automorphisms of non-orientable unbordered Klein surfaces of topological genus 3, 4 and 5. ⋮ SYMMETRIC CROSSCAP NUMBER OF GROUPS OF ORDER LESS THAN OR EQUAL TO 63 ⋮ Groups of symmetric crosscap number less than or equal to 17 ⋮ THE SYMMETRIC CROSSCAP NUMBER OF THE GROUPS OF SMALL-ORDER

Cites Work

• Cyclic groups of automorphisms of compact non-orientable Klein surfaces without boundary
• The real genus of cyclic by dihedral and dihedral by dihedral groups
• On non-Euclidean crystallographic groups
• Foundations of the theory of Klein surfaces
• The symmetric crosscap number of a group
• The symmetric cross-cap number of the groups C_m × D_n
• THERE IS A GROUP OF EVERY STRONG SYMMETRIC GENUS
• The Classification of Non-Euclidean Plane Crystallographic Groups
• Automorphisms of compact non-orientable Riemann surfaces
• Unnamed Item
• Unnamed Item

This page was built for publication: The action of the groups \(D_m \times D_n\) on unbordered Klein surfaces