Polygonal complexes and combinatorial group theory

DOI10.1007/BF01265309zbMath0832.57002WikidataQ56213067 ScholiaQ56213067MaRDI QIDQ1332622

Werner Ballmann, Michael Brin

Publication date: 7 March 1996

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

zbMATH Keywords

word problemhyperbolic groups2-dimensional complexes of nonpositive curvatureregular complexesregular formal languages

Mathematics Subject Classification ID

Polyhedra and polytopes; regular figures, division of spaces (51M20) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Group actions on manifolds and cell complexes in low dimensions (57M60)

Related Items

Nonpositively curved 2-complexes with isolated flats., Polygonal complexes I: Combinatorial and geometric properties, Groups acting on CAT(0) square complexes, Hadamard spaces with isolated flats. (With an appendix written jointly with Mohamad Hindawi)., Nonpositively curved metrics on 2-polyhedra, Orbihedra of nonpositive curvature, Generalized polygons and star graphs of cyclic presentations of groups, Existence, covolumes and infinite generation of lattices for Davis complexes, Small cancellation groups and translation numbers, ON THE STRUCTURE OF GRAPHS WHICH ARE LOCALLY INDISTINGUISHABLE FROM A LATTICE, CAT(-1)-spaces, divergence groups and their commensurators, Uniqueness of homogeneous CAT(0) polygonal complexes., Combing Euclidean buildings., Maximal torsion-free subgroups of certain lattices of hyperbolic buildings and Davis complexes, Sectional curvature of polygonal complexes with planar substructures, Groups acting simply transitively on vertex sets of hyperbolic triangular buildings, COCOMPACT ACTIONS ON HYPERBOLIC BUILDINGS, Coxeter-Davis lattices and commensurators, At the boundary of some hyperbolic polyhedra, Covolumes of uniform lattices acting on polyhedral complexes, Characterising vertex-star transitive and edge-star transitive graphs, Triangular hyperbolic buildings

Cites Work

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