The action of groups on hyperbolic spaces
type: Item
instance of: scholarly article
title: The action of groups on hyperbolic spaces
zbMATH Open document ID: 0845.53032
DOI: 10.1016/0926-2245(96)89147-9
author: Alireza Ranjbar-Motlagh
published in: Differential Geometry and its Applications
publication date: 1996-09-04T00:00:00Z
review text: We investigate the action of a group on a hyperbolic space in the sense of Gromov, where the subgroups are geometrically finite. Several well-known results about hyperbolic and free groups follow as special cases. The proofs are based on the induced action of groups on the boundary of hyperbolic spaces.
Mathematics Subject Classification ID: 53C23
Mathematics Subject Classification ID: 20F65
zbMATH DE Number: 897473
zbMATH Keywords: hyperbolic groups
zbMATH Keywords: Kleinian groups
zbMATH Keywords: quasi-convex
zbMATH Keywords: quasi-isometry
zbMATH Keywords: geometrically finite
zbMATH Keywords: group action
zbMATH Keywords: hyperbolic space
Wikidata QID: Q115362480
MaRDI profile type: Publication
full work available at URL: 0926-2245(96)89147-9
OpenAlex ID: W1979981104
cites work: Géométrie et théorie des groupes. Les groupes hyperboliques de Gromov. (Geometry and group theory. The hyperbolic groups of Gromov)
cites work: Rational subgroups of biautomatic groups
cites work: Q4321412
cites work: Sur les groupes hyperboliques d'après Mikhael Gromov. (On the hyperbolic groups à la M. Gromov)
cites work: Discrete Groups of Motions
cites work: Q3920272
cites work: Q3772406
cites work: Q4135772
cites work: Q4039828
cites work: Kleinian groups with intersecting limit sets
cites work: Limit Sets of Geometrically Finite Hyperbolic Groups
cites work: Topology of finite graphs
description: scientific article; zbMATH DE number 897473