Growth of periodic quotients of hyperbolic groups
Group Theory
2014-10-01 v1
Abstract
Let G be a non-elementary torsion-free hyperbolic group. We prove that the exponential growth rate of the periodic quotient G/G^n tends to the one of G as n odd approaches infinity. Moreover we provide an estimate at which the convergence is taking place.
Keywords
Cite
@article{arxiv.1211.4271,
title = {Growth of periodic quotients of hyperbolic groups},
author = {Rémi Coulon},
journal= {arXiv preprint arXiv:1211.4271},
year = {2014}
}
Comments
20 pages, 3 figures