Regular combinatorial maps

DOI10.1016/0095-8956(83)90053-9zbMath0514.05032OpenAlexW2082375993MaRDI QIDQ1050998

Andrew Vince

Publication date: 1983

Published in: Journal of Combinatorial Theory. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0095-8956(83)90053-9

zbMATH Keywords

Coxeter groupsautomorphism groupcell decompositionhighly symmetric combinatorial maps

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Polytopes and polyhedra (52Bxx)

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Cites Work

• Unnamed Item
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• Coverings and automorphisms of chamber systems
• Diagrams for geometries and groups
• Graph-encoded maps
• Combinatorial maps
• Regular tessellations of surfaces and (p,q,2)-triangle groups
• Buildings of spherical type and finite BN-pairs
• Regular 3-complexes with toroidal cells
• M-groups and 2-groups
• ON THE SECOND HOMOTOPY GROUP OF CERTAIN SIMPLICIAL COMPLEXES AND SOME COMBINATORIAL APPLICATIONS
• Riemann Surfaces Over Regular Maps
• Crystallisations of 2-Fold Branched Coverings of S 3
• The smallest nontoroidal chiral maps
• The Complete Enumeration of Finite Groups of the Form Ri2=(RiRj)kij=1
• Combinatorially regular polytopes
• Über die regulären Zerlegungen geschlossener orientierbarer Flächen.
• A Complete Description of the Normal Subgroups of Genus One of the Modular Group