Groups \(\mathrm{PSL}(3,p)\) and nonorientable regular maps.

DOI10.1016/j.jalgebra.2008.11.037zbMath1203.20044OpenAlexW2010112120MaRDI QIDQ1014608

Shao-Fei Du, Jin Ho Kwok

Publication date: 29 April 2009

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2008.11.037

zbMATH Keywords

regular mapsautomorphism groupslinear groupsarc-transitive graphssymmetric embeddings

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Linear algebraic groups over finite fields (20G40) Planar graphs; geometric and topological aspects of graph theory (05C10) Relations of low-dimensional topology with graph theory (57M15) Group actions on manifolds and cell complexes in low dimensions (57M60)

Related Items (6)

A classification of nonorientable regular embeddings of simple graphs of order \(p^3\) ⋮ Semisymmetric graphs of order \(2p^3\) ⋮ Nonorientable regular embeddings of graphs of order \(p^{2}\) ⋮ A classification of semisymmetric graphs of order \(2p^3\): unfaithful case ⋮ Semisymmetric prime-valent graphs of order \(2p^3\) ⋮ Primitive Permutation Representations of PSL(3, p) and Its Applications

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Two-element generation of the projective unimodular group
• The symmetric genus of alternating and symmetric groups
• Finite groups acting on surfaces and the genus of a group
• Klein surfaces with maximal symmetry and their groups of automorphisms
• Vertex-transitive triangulations of compact orientable 2-manifolds
• Representing \(PSL_ 2(p)\) on a Riemann surface of least genus
• Bordered and unbordered Klein surfaces with maximal symmetry
• Über eine Klasse von arithmetisch definierbaren Normalteilern der Modulgruppe
• Ree groups and Riemann surfaces
• Regular maps whose groups do not act faithfully on vertices, edges, or faces
• Erzeugende endlicher projektiver linearer Gruppen. (Generators of finite projective linear groups)
• Groups related to compact Riemann surfaces
• Hurwitz groups: A brief survey
• PSL(2, q) as an image of the extended modular group with applications to group actions on surfaces
• Suzuki Groups and Surfaces
• The genus of PSl2 (q).
• Bordered Klein Surfaces with Maximal Symmetry
• The Subgroups of PSL(3, q) for odd q
• Endliche Gruppen I

This page was built for publication: Groups \(\mathrm{PSL}(3,p)\) and nonorientable regular maps.