Growth tightness for word hyperbolic groups.
type: Item
instance of: scholarly article
title: Growth tightness for word hyperbolic groups.
zbMATH Open document ID: 1045.20035
published in: Mathematische Zeitschrift
publication date: 2003-03-27T00:00:00Z
review text: The article is devoted to word hyperbolic groups generated by local geodesics in a given Riemann manifold. Their growth rate as word groups is studied. It is shown that their growth rate is of exponential type and estimates of exponential growth rates are given. Inequalities between exponential growth rates of groups and their quotients by normal subgroups are proved.
Mathematics Subject Classification ID: 20F67
Mathematics Subject Classification ID: 53C21
Mathematics Subject Classification ID: 20F05
zbMATH DE Number: 1889152
zbMATH Keywords: word hyperbolic groups
zbMATH Keywords: growth tightness
zbMATH Keywords: geodesics
zbMATH Keywords: finitely generated groups
author: Goulnara N. Arzhantseva
author: Igor Lysenok
reviewed by: Sergey V. Ludkovsky
MaRDI profile type: Publication
full work available at URL: s00209-002-0434-6
OpenAlex ID: W1990774702
DOI: 10.1007/S00209-002-0434-6
description: scientific article; zbMATH DE number 1889152