Regular maps whose groups do not act faithfully on vertices, edges, or faces

DOI10.1016/j.ejc.2003.09.022zbMath1056.05078OpenAlexW1983250026MaRDI QIDQ1767635

Cai Heng Li, Jozef Širáň

Publication date: 8 March 2005

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejc.2003.09.022

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Related Items (12)

Möbius regular maps ⋮ Regular maps of graphs of order \(4p\) ⋮ Regular maps of 2-power order ⋮ Highly symmetric maps on surfaces with boundary ⋮ Orientably-regular \(p\)-maps and regular \(p\)-maps ⋮ Branched cyclic regular coverings over Platonic maps ⋮ \(F\)-actions and parallel-product decomposition of reflexible maps ⋮ Non-abelian almost totally branched coverings over the Platonic maps ⋮ Faithful permutation representations of toroidal regular maps ⋮ Groups \(\mathrm{PSL}(3,p)\) and nonorientable regular maps. ⋮ Vertex-faithful regular polyhedra ⋮ Regular and orientably-regular maps with quasiprimitive automorphism groups on vertices

Cites Work

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• Operators over regular maps
• Cantankerous maps and rotary embeddings of \(K_ n\)
• Operations on maps, and outer automorphisms
• Determination of all regular maps of small genus
• Triangle group representations and constructions of regular maps
• An O'Nan-Scott Theorem for Finite Quasiprimitive Permutation Groups and an Application to 2-Arc Transitive Graphs
• FOUNDATIONS OF THE THEORY OF MAPS ON SURFACES WITH BOUNDARY
• Characterisation of Graphs which Underlie Regular Maps on Closed Surfaces
• Exponents of Orientable Maps
• Belyi Functions, Hypermaps and Galois Groups

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