Regular maps on non-orientable surfaces

DOI10.1007/BF01267644zbMath0832.05053OpenAlexW2031900816MaRDI QIDQ1900066

Brent Everitt, Marston D. E. Conder

Publication date: 20 February 1996

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01267644

zbMATH Keywords

automorphism groupregular mapsprojective planeKlein bottlemapimbeddingnon-orientable surface

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 (15)

Symmetries of Maps on Surfaces ⋮ Genus spectra for symmetric embeddings of graphs on surfaces ⋮ Applications and adaptations of the low index subgroups procedure ⋮ Inner reflectors and non-orientable regular maps ⋮ Surfaces having no regular hypermaps. ⋮ Regular maps with simple underlying graphs ⋮ Regular cyclic coverings of the Platonic maps ⋮ The genera, reflexibility and simplicity of regular maps ⋮ On automorphism groups of Riemann double covers of Klein surfaces ⋮ Classification of regular maps of prime characteristic revisited: avoiding the Gorenstein-Walter theorem ⋮ Vertex transitive embeddings of complete graphs ⋮ Classification of regular maps of negative prime Euler characteristic ⋮ Finite edge-transitive Cayley graphs and rotary Cayley maps ⋮ Semi-equivelar maps on the surface of Euler characteristic ⋮ Determination of all regular maps of small genus

Uses Software

• Cayley

Cites Work

• Operators over regular maps
• Cantankerous maps and rotary embeddings of \(K_ n\)
• The Abstract Groups G m,n,p
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