Bilipschitz equivalence is not equivalent to quasi-isometric equivalence for finitely generated groups.
From MaRDI portal
Publication:605905
DOI10.1215/00127094-2010-044zbMath1277.20044arXiv0904.3764OpenAlexW2949284167MaRDI QIDQ605905
Publication date: 15 November 2010
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0904.3764
Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Extensions, wreath products, and other compositions of groups (20E22)
Related Items (6)
Measure-scaling quasi-isometries ⋮ Non-rectifiable Delone sets in SOL and other solvable groups ⋮ Cartan subalgebras in C*-algebras. Existence and uniqueness ⋮ 𝐾-theory for generalized Lamplighter groups ⋮ Uniformly finite homology and amenable groups ⋮ Group approximation in Cayley topology and coarse geometry. III: Geometric property (T)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Coarse differentiation of quasi-isometries. I: Spaces not quasi-isometric to Cayley graphs
- Quasi-isometries and rigidity of solvable groups
- Horocyclic products of trees
- On quasiconformal groups
- A rigidity theorem for the solvable Baumslag-Solitar groups. (With an appendix by Daryl Cooper)
- Separated nets in Euclidean space and Jacobians of biLipschitz maps
- Lipschitz maps and nets in Euclidean space
- Rectifying separated nets
- Coarse differentiation of quasi-isometries. II: Rigidity for Sol and lamplighter groups
- Amenability, bi-Lipschitz equivalence, and the von Neumann conjecture
- A finitely-presented solvable group with a small quasi-isometry group.
- The geometry of twisted conjugacy classes in wreath products
- Aperiodic Tilings, Positive Scalar Curvature, and Amenability of Spaces
This page was built for publication: Bilipschitz equivalence is not equivalent to quasi-isometric equivalence for finitely generated groups.
