Height in splittings of hyperbolic groups.
DOI10.1007/BF02829670zbMath1059.20040arXivmath/0403125MaRDI QIDQ1431071
Publication date: 27 May 2004
Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0403125
hyperbolic groupsgraphs of groupsHNN-extensionsamalgamated productssplittings of groupsquasi-isometric embeddingshyperbolic \(3\)-manifoldsfinitely presented subgroupsessentially distinct conjugatesessentially distinct elements
Geometric group theory (20F65) Fundamental group, presentations, free differential calculus (57M05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Hyperbolic groups and nonpositively curved groups (20F67)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The large-scale geometry of Hilbert modular groups
- A combination theorem for negatively curved groups
- Iteration on Teichmüller space
- There are no fake Seifert fibre spaces with infinite \(\pi_1\).
- Bouts des variétés hyperboliques de dimension 3. (Ends of hyperbolic 3-dimensional manifolds)
- Amenability, Poincaré series and quasiconformal maps
- Cannon-Thurston maps for trees of hyperbolic metric spaces
- Group completions and limit sets of Kleinian groups
- Géométrie et théorie des groupes. Les groupes hyperboliques de Gromov. (Geometry and group theory. The hyperbolic groups of Gromov)
- Sur les groupes hyperboliques d'après Mikhael Gromov. (On the hyperbolic groups à la M. Gromov)
- Train tracks and automorphisms of free groups
- Hausdorff dimension of the set of nonergodic foliations of a quadratic differential
- Cohomological lower bounds for isoperimetric functions on groups
- The classification of punctured-torus groups
- Structure and rigidity in hyperbolic groups. I
- Laminations, trees, and irreducible automorphisms of free groups
- Ending laminations for hyperbolic group extensions
- Cannon-Thurston maps for hyperbolic group extensions
- The Tits alternative for \(\text{Out}(F_n)\). I: Dynamics of exponentially-growing automorphisms
- Hyperbolic extensions of groups
- The Tits alternative for \(\text{Out}(F_n)\). II: A Kolchin type theorem.
- Group invariant Peano curves
- Geometric Finiteness of Certain Kleinian Groups
- Variétés Hyperboliques À Géodésiques Arbitrairement Courtes
- On the geometry and dynamics of diffeomorphisms of surfaces
- Branched Coverings of Cubical Complexes and Subgroups of Hyperbolic Groups
- Subgroups of Surface Groups are Almost Geometric
- On a theorem of Scott and Swarup
- The Extrinsic Geometry of Subgroups and the Generalized Word Problem
- On Rigidity, Limit Sets, and End Invariants of Hyperbolic 3-Manifolds
- On the local connectivity of limit sets of kleinian groups
- A hyperbolic-by-hyperbolic hyperbolic group
- Widths of Subgroups
- Semiconjugacies between Kleinian group actions on the Riemann sphere
- Compact Submanifolds of 3-Manifolds
This page was built for publication: Height in splittings of hyperbolic groups.