Quasi-isometries of rank one \(S\)-arithmetic lattices

DOI10.4171/GGD/148zbMath1246.22012arXivmath/0504207OpenAlexW2058181854MaRDI QIDQ766019

Kevin Wortman

Publication date: 22 March 2012

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

Full work available at URL: https://arxiv.org/abs/math/0504207

zbMATH Keywords

quasi-isometryarithmetic groups

Mathematics Subject Classification ID

Geometric group theory (20F65) Discrete subgroups of Lie groups (22E40) Linear algebraic groups over global fields and their integers (20G30)

Related Items (3)

A joinings classification and a special case of Raghunathan's conjecture in positive characteristic (with an appendix by Kevin Wortman) ⋮ Quasiflats with holes in reductive groups. ⋮ On the structure and arithmeticity of lattice envelopes

Cites Work

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• The large-scale geometry of Hilbert modular groups
• Quasi-isometric rigidity and Diophantine approximation
• The quasi-isometry classification of lattices in semisimple Lie groups
• Rigidity of quasi-isometries for symmetric spaces and Euclidean buildings
• The large-scale geometry of some metabelian groups.
• The quasi-isometry classification of rank one lattices
• Quasi-isometric rigidity for \(PSL_2 (\mathbb{Z} [1/p)\)]
• Quasi-isometric rigidity of nonuniform lattices in higher rank symmetric spaces

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