Group splittings and asymptotic topology
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Publication:3437821
DOI10.1515/CRELLE.2007.001zbMath1160.20034arXivmath/0201312OpenAlexW1998582772MaRDI QIDQ3437821
Publication date: 10 May 2007
Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0201312
finitely generated groupsquasi-isometriesgroup splittingsPoincaré duality groupsgraphs of groups decompositionsasymptotic topology
Geometric group theory (20F65) Topological methods in group theory (57M07) Asymptotic properties of groups (20F69) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Poincaré duality spaces (57P10)
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Cites Work
- Quasi-isometries preserve the geometric decomposition of Haken manifolds
- Covering theory for graphs of groups
- Cut points and canonical splittings of hyperbolic groups
- Quasi-isometric rigidity for the solvable Baumslag-Solitar groups. II
- Quasi-isometric rigidity and Diophantine approximation
- A rigidity theorem for the solvable Baumslag-Solitar groups. (With an appendix by Daryl Cooper)
- Quasi-actions on trees. I: Bounded valence
- The algebraic torus theorem
- Quasi-isometry invariance of group splittings.
- On torsion-free groups with infinitely many ends
- MINIMAL CUBINGS