Quasi-isometric rigidity for \(PSL_2 (\mathbb{Z} [1/p])\)

DOI10.1215/S0012-7094-00-10129-9zbMath0954.22006arXivmath/9809108OpenAlexW2012171903MaRDI QIDQ1976050

Jennifer Taback

Publication date: 30 January 2001

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9809108

zbMATH Keywords

latticerigiditysemisimple Lie group

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40)

Related Items

Expanders and box spaces ⋮ On torsion in the cohomology of \(\operatorname{PSL}_2 (\mathbb Z[1/N)\)] ⋮ The large-scale geometry of some metabelian groups. ⋮ A joinings classification and a special case of Raghunathan's conjecture in positive characteristic (with an appendix by Kevin Wortman) ⋮ Asymptotic invariants of finitely generated algebras. A generalization of Gromov's quasi-isometric viewpoint. ⋮ Quasi-isometric rigidity of higher rank \(S\)-arithmetic lattices. ⋮ Quasi-isometries of rank one \(S\)-arithmetic lattices

Cites Work

• The large-scale geometry of Hilbert modular groups
• Quasi-isometric rigidity and Diophantine approximation
• The quasi-isometry classification of lattices in semisimple Lie groups
• A rigidity theorem for the solvable Baumslag-Solitar groups. (With an appendix by Daryl Cooper)
• The quasi-isometry classification of rank one lattices
• A note on curvature and fundamental group
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