FOUNDATIONS OF THE THEORY OF MAPS ON SURFACES WITH BOUNDARY

DOI10.1093/qmath/36.1.17zbMath0565.05026OpenAlexW2029570114MaRDI QIDQ3679211

Robin P. Bryant, David Singerman

Publication date: 1985

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/qmath/36.1.17

zbMATH Keywords

bladesdartsembedded graph in a surfaceextended triangle groupfactor group of a triangle group

Mathematics Subject Classification ID

Related Items (39)

Edge-transitive embeddings of complete graphs ⋮ Algebraic specification and development in geometric modeling ⋮ Classifying edge-biregular maps of negative prime Euler characteristic ⋮ Unnamed Item ⋮ Introducing edge-biregular maps ⋮ Trinity symmetry and kaleidoscopic regular maps ⋮ Möbius regular maps ⋮ Complexes and Coxeter groups - operations and outer automorphisms ⋮ Regular maps of 2-power order ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Enumerating regular objects with a given automorphism group ⋮ A reductive technique for enumerating non-isomorphic planar maps ⋮ Formal specification and proofs for the topology and classification of combinatorial surfaces ⋮ Incidence geometries with trialities coming from maps with Wilson trialities ⋮ Conjugacy classes of reflections of maps ⋮ Highly symmetric maps on surfaces with boundary ⋮ Bi-rotary maps of negative prime characteristic ⋮ Enumeration of regular maps of given type on twisted linear fractional groups ⋮ Generalized Cayley maps and Hamiltonian maps of complete graphs ⋮ Orientable and non-orientable regular maps with given exponent group ⋮ Maps related to Grigorchuk's group ⋮ Riemann-Hurwitz theorem and Riemann-Roch theorem for hypermaps ⋮ Homomorphisms between graphs embedded in surfaces ⋮ Voltage lifts of graphs from a category theory viewpoint ⋮ Operations on hypermaps, and outer automorphisms ⋮ Regular Hamiltonian embeddings of \(K_{n,n}\) and regular triangular embeddings of \(K_{n,n,n}\). ⋮ Mixing and monodromy of abstract polytopes ⋮ Enumeration of maps regardless of genus: geometric approach ⋮ Unnamed Item ⋮ Regular maps whose groups do not act faithfully on vertices, edges, or faces ⋮ Maps admitting trialities but not dualities ⋮ Classification of regular maps of prime characteristic revisited: avoiding the Gorenstein-Walter theorem ⋮ Classification of regular maps of negative prime Euler characteristic ⋮ Frobenius groups which are the automorphism groups of orientably-regular maps ⋮ Operations on maps, and outer automorphisms ⋮ Regular and orientably-regular maps with quasiprimitive automorphism groups on vertices ⋮ Bipartite graph embeddings, Riemann surfaces and Galois groups ⋮ Embeddings of infinite graphs

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