Hyperbolic Groups

1987/01/01 by M. Gromov · 33 citations
Mathematics · #Advanced Algebra and Geometry #Geology #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Mathematics #Pure mathematics

paper · doi:10.1007/978-1-4613-9586-7_3

crossref issued 1987/01/01 · crossref published 1987/01/01 · crossref published-print 1987/01/01 · openalex publication_date 1987/01/01 · crossref created 2011/11/22 · crossref deposited 2020/11/18 · openalex created_date 2022/05/12 · openalex updated_date 2026/08/01 · crossref indexed 2026/08/05

Citations

• Hyperbolic manifolds according to Thurston and Jørgensen
• Filling Riemannian manifolds
• Finitely presented dynamical systems
• The combinatorial structure of cocompact discrete hyperbolic groups
• Free subgroups in linear groups
• A fundamental class of geodesics on any closed surface of genus greater than one

Cited by

• From continua to ℝ–trees
• The Dehn function of Richard Thompson’s group F is quadratic
• Accidental parabolics and relatively hyperbolic groups
• PARABOLIC GROUPS ACTING ON ONE-DIMENSIONAL COMPACT SPACES
• Acylindrically hyperbolic groups
• The isomorphism problem for all hyperbolic groups
• Recognizing constant curvature discrete groups in dimension 3
• RELATIVELY HYPERBOLIC GROUPS
• Residual finiteness, QCERF and fillings of hyperbolic groups
• Free groups in lattices
• Counting loxodromics for hyperbolic actions
• Aspherical manifolds, relative hyperbolicity, simplicial volume and assembly maps
• The Vietoris–Rips complexes of acircle
• Unlabeled sample compression schemes and corner peelings for ample and maximum classes
• Random walks, WPD actions, and the Cremona group
• Network geometry
• A gluing theorem for negatively curved complexes
• Groups acting on CAT(0) cube complexes
• Group negative curvature for 3–manifolds with genuine laminations
• Stability and the Morse boundary
• Dimension of harmonic measures in hyperbolic spaces
• Local cut points and splittings of relatively hyperbolic groups
• Geometric analysis on Cantor sets and trees
• A characterization for asymptotic dimension growth
• Coordinate-free Coverage in Sensor Networks with Controlled Boundaries via Homology
• Boundaries and automorphisms of hierarchically hyperbolic spaces
• A finiteness condition on centralizers in locally nilpotent groups
• The Theory of Multidimensional Persistence
• Computing Multidimensional Persistence
• Coverage in sensor networks via persistent homology
• Combination of convergence groups
• Coxeter groups, hyperbolic cubes and acute triangulations
• Hyperbolic group [wikipedia]