THE SYMMETRIC CROSSCAP NUMBER OF THE GROUPS OF SMALL-ORDER

DOI10.1142/S0219498812501642zbMath1283.30071OpenAlexW2019976426MaRDI QIDQ4909165

Ernesto Martínez, José Javier Etayo Gordejuela

Publication date: 12 March 2013

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498812501642

zbMATH Keywords

Klein surfaceautomorphism groupsymmetric 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) Teichmüller theory for Riemann surfaces (30F60)

Related Items (6)

The full group of automorphisms of non-orientable unbordered Klein surfaces of topological genus 3, 4 and 5. ⋮ The full group of automorphisms of non-orientable unbordered Klein surfaces of topological genus 7 ⋮ 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 full group of automorphisms of non-orientable unbordered Klein surfaces of topological genus 6 ⋮ Abelian actions on compact bordered Klein surfaces

Cites Work

• The action of the groups \(D_m \times D_n\) on unbordered Klein surfaces
• The groups of real genus \(\rho\leq 16\).
• Cyclic groups of automorphisms of compact non-orientable Klein surfaces without boundary
• On non-Euclidean crystallographic groups
• Foundations of the theory of Klein surfaces
• 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

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