The large-scale geometry of some metabelian groups.

DOI10.1307/mmj/1080837744zbMath1072.20049arXivmath/0301178OpenAlexW2017302089MaRDI QIDQ1885575

Jennifer Taback, Kevin Whyte

Publication date: 11 November 2004

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

Full work available at URL: https://arxiv.org/abs/math/0301178

zbMATH Keywords

quasi-isometrieswarped productsproducts of treessolvable Baumslag-Solitar groups

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Hyperbolic groups and nonpositively curved groups (20F67) Other geometric groups, including crystallographic groups (20H15) Groups acting on trees (20E08)

Related Items (6)

The \(\mathrm{R}_\infty\)-property for nilpotent quotients of Baumslag-Solitar groups ⋮ Higher rank confining subsets and hyperbolic actions of solvable groups ⋮ Isoperimetry of group actions. ⋮ A finitely-presented solvable group with a small quasi-isometry group. ⋮ Quasi-isometries of rank one \(S\)-arithmetic lattices ⋮ Embedding certain diffeomorphism groups in the quasi-isometry groups of Euclidean spaces

Cites Work

• Unnamed Item
• The large scale geometry of products of trees
• Quasi-isometries and the de Rham decomposition
• Quasi-isometric rigidity for the solvable Baumslag-Solitar groups. II
• A rigidity theorem for the solvable Baumslag-Solitar groups. (With an appendix by Daryl Cooper)
• Rigidity of quasi-isometries for symmetric spaces and Euclidean buildings
• Quasi-actions on trees. I: Bounded valence
• An elementary approach to quasi-isometries of \(\text{Tree}\times\mathbb{R}^n\).
• Quasi-isometric rigidity for \(PSL_2 (\mathbb{Z} [1/p)\)]
• A note on curvature and fundamental group
• Finitely presented simple groups and products of trees
• The large scale geometry of the higher Baumslag-Solitar groups

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