A lower bound on the growth of word haperbolic groups

Arzhantseva, Goulnara N.; Lysenok, I. G.

doi:10.1112/S002461070502257X

Scientific article

English

A lower bound on the growth of word haperbolic groups

ContributorsArzhantseva, Goulnara N.; Lysenok, I. G.

Published inJournal of the London Mathematical Society, vol. 73, no. 2, p. 109-125

Publication date2006

Abstract

We give a linear lower bound on the exponential growth rate of a non-elementary subgroup of a word hyperbolic group, with respect to the number of generators for the subgroup.

Affiliation entities

Faculté des sciences / Section de mathématiques

Citation (ISO format)

ARZHANTSEVA, Goulnara N., LYSENOK, I. G. A lower bound on the growth of word haperbolic groups. In: Journal of the London Mathematical Society, 2006, vol. 73, n° 2, p. 109–125. doi: 10.1112/S002461070502257X

Article (Published version)

Identifiers

PID : unige:12129
DOI : 10.1112/S002461070502257X

Journal ISSN0024-6107

551views

0downloads

Creation15/10/2010 15:05:00

First validation15/10/2010 15:05:00

Update14/03/2023 16:07:35

Status update14/03/2023 16:07:35

Last indexation29/10/2024 17:15:47

Archive ouverte UNIGE

A lower bound on the growth of word haperbolic groups

We give a linear lower bound on the exponential growth rate of a non-elementary subgroup of a word hyperbolic group, with respect to the number of generators for the subgroup.

Technical informations