On Hausdorff-Gromov convergence and a theorem of Paulin
type: Item
instance of: scholarly article
title: On Hausdorff-Gromov convergence and a theorem of Paulin
zbMATH Open document ID: 0846.20038
author: Yanyan Li
published in: L'Enseignement Mathématique. 2e Série
publication date: 1996-09-09T00:00:00Z
review text: Summary: We give an elementary account of ideas related to Hausdorff-Gromov convergence and explain how, among other things, these ideas can be used to prove a theorem of F. Paulin: If a group \(\Gamma\) is word hyperbolic and its outer automorphism group is infinite, then \(\Gamma\) acts by isometries on an \(\mathbb{R}\)-tree with virtually cyclic segment stabilizers and no global fixed points.
Mathematics Subject Classification ID: 20F65
Mathematics Subject Classification ID: 20E08
Mathematics Subject Classification ID: 57M07
Mathematics Subject Classification ID: 20F28
Mathematics Subject Classification ID: 53C23
zbMATH DE Number: 856842
zbMATH Keywords: theorem of Paulin
zbMATH Keywords: word hyperbolic groups
zbMATH Keywords: Hausdorff-Gromov convergence
zbMATH Keywords: outer automorphism groups
zbMATH Keywords: virtually cyclic segment stabilizers
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 856842