COCOMPACT ACTIONS ON HYPERBOLIC BUILDINGS

DOI10.1142/S0218196710005807zbMath1207.51009arXiv1409.1401MaRDI QIDQ3580225

Riikka Kangaslampi, Alina Vdovina

Publication date: 11 August 2010

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.1401

zbMATH Keywords

generalized quadranglehyperbolic buildingpolygonal presentation

Mathematics Subject Classification ID

Topological methods in group theory (57M07) Buildings and the geometry of diagrams (51E24) Hyperbolic groups and nonpositively curved groups (20F67)

Related Items (4)

Generalized polygons and star graphs of cyclic presentations of groups ⋮ Hyperbolic Triangular Buildings Without Periodic Planes of Genus 2 ⋮ Sectional curvature of polygonal complexes with planar substructures ⋮ Groups acting simply transitively on vertex sets of hyperbolic triangular buildings

Cites Work

• Groups acting simply transitively on the vertices of a building of type \(\tilde A_ 2\). I
• Groups acting simply transitively on the vertices of a building of type \(\tilde A_ 2\). II: The cases \(q=2\) and \(q=3\)
• Polygonal complexes and combinatorial group theory
• Hyperbolic buildings, conformal dimension and Mostow rigidity
• The residual finiteness of negatively curved polygons of finite groups.
• Combinatorial structure of some hyperbolic buildings
• Two-dimensional finite non-positively curved polyhedra of rank two
• Orbihedra of nonpositive curvature
• Quasi-isometric rigidity of Fuchsian buildings
• Sur les immeubles fuchsiens et leur type de quasi-isométrie
• On hyperbolic buildings

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