The genera, reflexibility and simplicity of regular maps

DOI10.4171/JEMS/200zbMath1221.05197MaRDI QIDQ967458

Jozef Širáň, Thomas W. Tucker, Marston D. E. Conder

Publication date: 29 April 2010

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: http://www.ems-ph.org/journals/journal.php?jrn=jems

zbMATH Keywords

embeddingregular mapsymmetric graphgenuschiralreflexible

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Relations of low-dimensional topology with graph theory (57M15)

Related Items (26)

Observations and answers to questions about edge-transitive maps ⋮ Classifying edge-biregular maps of negative prime Euler characteristic ⋮ Recent progress in classification of regular maps on a given compact surface ⋮ On a canonical construction of tessellated surfaces from finite groups ⋮ Maximal order group actions on Riemann surfaces ⋮ The intersection condition for regular polytopes ⋮ Vertex-transitive maps with Schläfli type \(\{3,7\}\) ⋮ Bi-rotary maps of negative prime characteristic ⋮ Edge-transitive uniface embeddings of bipartite multi-graphs ⋮ Galois actions on regular dessins of small genera ⋮ Four infinite families of chiral 3-polytopes of type \(\{4,8\}\) with solvable automorphism groups ⋮ Classification of regular maps of Euler characteristic \(-3p\) ⋮ Regular maps with simple underlying graphs ⋮ Riemann surfaces of genus \(1+q^2\) with \(3q^2\) automorphisms ⋮ Circular regular dessins ⋮ Regular Cayley maps for cyclic groups ⋮ Chiral maps of given hyperbolic type ⋮ Orientably-regular maps of Euler characteristic \(- 2p^2\) ⋮ A note on large automorphism groups of compact Riemann surfaces ⋮ Classification of regular maps of prime characteristic revisited: avoiding the Gorenstein-Walter theorem ⋮ Groups of automorphisms of Riemann surfaces and maps of genus p + 1 where p is prime ⋮ Regular maps and hypermaps of Euler characteristic \(-1\) to \(-200\) ⋮ New methods for finding minimum genus embeddings of graphs on orientable and non-orientable surfaces ⋮ Corrigendum to: ``Orientably-regular maps of Euler characteristic \(- 2 p^2\) ⋮ On \((2,3)\)-generation of Fischer's largest sporadic simple group \(\mathrm{Fi}_{24}^\prime\) ⋮ Log-Concavity of Combinations of Sequences and Applications to Genus Distributions

Uses Software

• Magma

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Regular maps and hypermaps of Euler characteristic \(-1\) to \(-200\)
• Topics in the theory of Riemann surfaces
• The Magma algebra system. I: The user language
• Surfaces having no regular hypermaps.
• Determination of all regular maps of small genus
• Regular maps on non-orientable surfaces
• On finite groups with semi-dihedral Sylow 2-subgroups
• Über das Produkt von zwei abelschen Gruppen
• On Finite Groups with Cyclic Sylow Subgroups for all Odd Primes
• Belyi Functions, Hypermaps and Galois Groups
• Classification of regular maps of negative prime Euler characteristic
• AUTOMORPHISM GROUPS OF RIEMANN SURFACES OF GENUS p+1, WHERE p IS PRIME

This page was built for publication: The genera, reflexibility and simplicity of regular maps