Keyword

hyperbolic groups

Description: Hyperbolic groups are groups whose Cayley graphs satisfy a form of negative curvature, a central concept in geometric group theory.

Primary topic: Geometric and Algebraic Topology (68%)

Wikidata ID: wiki/Q81194

OpenAlex ID: keywords/hyperbolic-groups

Hyperbolic Groups

1987 · M. Gromov · Mathematical Sciences Research Institute publications · 1,816

Combinatorial Group Theory

2001 · Roger C. Lyndon, Paul E. Schupp · Classics in mathematics · 1,017

Sur les Groupes Hyperboliques d’après Mikhael Gromov

1990 · La Harpe, Pierre de, Ghys, Etienne · Progress in mathematics · 784

Lectures on Coarse Geometry

2003 · John Roe · University lecture series · 681

Les immeubles des groupes de tresses g�n�ralis�s

1972 · Pierre Deligne · Inventiones mathematicae · 490

Relatively Hyperbolic Groups

1998 · B. Farb · Geometric and Functional Analysis · 451

Subgroups of Surface Groups are Almost Geometric

1978 · Peter Scott · Journal of the London Mathematical Society · 385

Entropy, Hausdorff measures old and new, and limit sets of geometrically finite Kleinian groups

1984 · Dennis Sullivan · Acta Mathematica · 370

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Géométrie et théorie des groupes

1990 · Michel Coornaert, Thomas Delzant, et al. · Lecture notes in mathematics · 367

Cyclic cohomology, the Novikov conjecture and hyperbolic groups

1990 · Alain Connes, Henri Moscovici · Topology · 357

A combination theorem for negatively curved groups

1992 · M. Bestvina, M. Feighn · Journal of Differential Geometry · 321

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The Ergodic Theory of Discrete Groups

1989 · Peter J. Nicholls · Cambridge University Press eBooks · 308

The Novikov Conjecture for Groups with Finite Asymptotic Dimension

1998 · Guoliang Yu · Annals of Mathematics · 279

The Boundary of Negatively Curved Groups

1991 · Mladen Bestvina, Geoffrey Mess · Journal of the American Mathematical Society · 271

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Topological methods in group theory

1979 · Peter Scott, Terry Wall · Cambridge University Press eBooks · 270

Finitely Maximal Fuchsian Groups

1972 · David Singerman · Journal of the London Mathematical Society · 267

The combinatorial structure of cocompact discrete hyperbolic groups

1984 · JamesW. Cannon · Geometriae Dedicata · 248

Hyperbolic Manifolds, Groups and Actions

1981 · M. Gromov · Princeton University Press eBooks · 247

Cut points and canonical splittings of hyperbolic groups

1998 · Brian H. Bowditch · Acta Mathematica · 231

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Subgroups of small Cancellation Groups

1982 · E. Rips · Bulletin of the London Mathematical Society · 229

Geometrical Finiteness for Hyperbolic Groups

1993 · B.H. Bowditch · Journal of Functional Analysis · 223

Gromov's theorem on groups of polynomial growth and elementary logic

1984 · L van den Dries, A.J Wilkie · Journal of Algebra · 217

Geometric Group Theory

2018 · Cornelia Druţu, Michael Kapovich · Colloquium Publications - American Mathematical Society/Colloquium Publications · 207

Constructing group actions on quasi-trees and applications to mapping class groups

2014 · Mladen Bestvina, Ken Bromberg, et al. · Publications mathématiques de l IHÉS · 205

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COMPLEX HYPERBOLIC GEOMETRY (Oxford Mathematical Monographs) By W ILLIAM M. G OLDMAN : 316 pp., £65.00, ISBN 0-19-853793-X (Clarendon Press, Oxford, 1999).

2001 · Ara Basmajian · Bulletin of the London Mathematical Society · 200

Works count: 2,753

Citation count: 32,780