Pattern rigidity in hyperbolic spaces: duality and PD subgroups.

DOI10.4171/GGD/152zbMath1270.20050arXiv0809.4449OpenAlexW2090104117MaRDI QIDQ763711

Kingshook Biswas, Mahan Mitra

Publication date: 29 March 2012

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0809.4449

zbMATH Keywords

finitely generated groupsquasiconformal mapsgraphs of groupshomology manifoldsPoincaré duality groupsquasi-isometric rigiditypattern rigidityfreely indecomposable subgroupsinfinite index quasiconvex subgroupsuniform lattices in rank one symmetric spaces

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Topological methods in group theory (57M07) Discrete subgroups of Lie groups (22E40) General geometric structures on low-dimensional manifolds (57M50) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Hyperbolic groups and nonpositively curved groups (20F67)

Related Items (6)

Combining rational maps and Kleinian groups via orbit equivalence ⋮ Flows, fixed points and rigidity for Kleinian groups ⋮ Quasi-isometries between groups with two-ended splittings ⋮ Pattern rigidity and the Hilbert-Smith conjecture. ⋮ Revisiting Leighton’s theorem with the Haar measure ⋮ Geometric group theory and hyperbolic geometry: recent contributions from Indian mathematicians

Cites Work

• Rigidity and relative hyperbolicity of real hyperbolic hyperplane complements
• Local homology properties of boundaries of groups

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