Quasi-isometric co-Hopficity of non-uniform lattices in rank-one semi-simple Lie groups

DOI10.1090/S1088-4173-2012-00246-9zbMath1277.20047arXiv1204.4193WikidataQ115280850 ScholiaQ115280850MaRDI QIDQ2842885

Ilya Kapovich, Anton Lukyanenko

Publication date: 19 August 2013

Published in: Conformal Geometry and Dynamics of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.4193

zbMATH Keywords

isometry groupsquasi-isometriesco-Hopfian groupsnon-uniform latticesRiemannian symmetric spacesrank-one semi-simple Lie groups

Mathematics Subject Classification ID

Geometric group theory (20F65) Semisimple Lie groups and their representations (22E46) Discrete subgroups of Lie groups (22E40) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)

Related Items (5)

Quasisymmetrically co-Hopfian Menger curves and Sierpiński spaces ⋮ Dynamic characterizations of quasi-isometry and applications to cohomology ⋮ Quasi-isometric embeddings of non-uniform lattices. With an appendix by S. Garibaldi, D. B. McReynolds, N. Miller and D. Witte Morris. ⋮ Extensions of Veech groups. II: Hierarchical hyperbolicity and quasi-isometric rigidity ⋮ Conformal dimension of hyperbolic groups that split over elementary subgroups

Cites Work

• Unnamed Item
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• Cofinitely Hopfian groups, open mappings and knot complements.
• Coarse Alexander duality and duality groups
• A Sierpiński carpet with the co-Hopfian property
• Endomorphisms of hyperbolic groups. I: The Hopf property
• Hyperbolic buildings, conformal dimension and Mostow rigidity
• Structure and rigidity in (Gromov) hyperbolic groups and discrete groups in rank \(1\) Lie groups. II
• A rigidity theorem for the solvable Baumslag-Solitar groups. (With an appendix by Daryl Cooper)
• Embeddings of Gromov hyperbolic spaces
• The quasi-isometry classification of rank one lattices
• Endomorphisms of Kleinian groups.
• ENDOMORPHISMS OF RELATIVELY HYPERBOLIC GROUPS
• Poincaré inequalities and quasiconformal structure on the boundary of some hyperbolic buildings
• Quasi-isometric rigidity of nonuniform lattices in higher rank symmetric spaces
• ON CO-HOPFIAN NILPOTENT GROUPS

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