Quotients of Coxeter complexes, fundamental groupoids and regular graphs

DOI10.1007/BF02571944zbMath0807.57002OpenAlexW2002308410MaRDI QIDQ1340959

Stephen P. Humphries

Publication date: 21 December 1994

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174690

zbMATH Keywords

manifoldsCoxeter groupgraphsdual Coxeter complexpresentation for fundamental groupoidquotients of Coxeter complexes

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Finite transformation groups (57S17) Fundamental group, presentations, free differential calculus (57M05) PL-topology (57Q99)

Related Items

Tetrahedral Coxeter groups, large group-actions on 3-manifolds and equivariant Heegaard splittings, Psl(2,q) quotients of some hyperbolic tetrahedral and coxeter groups, Finite maximal orientation reversing group actions on handlebodies and 3-manifolds

Uses Software

• Cayley

Cites Work

• A lower bound for the volume of hyperbolic 3-orbifolds
• Totally geodesic surfaces in hyperbolic 3-manifolds
• Immersions and Embeddings of Totally Geodesic Surfaces
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