Growth exponent of generic groups
Group Theory
2007-05-23 v2
Abstract
Grigorchuk and de la Harpe asked if there are many groups with growth exponent close to that of the free group with the same number of generators. We prove that this is in fact the case for a generic group (in the density model of random groups). More generally, we prove that the growth exponent does not change much through a random quotient of a torsion-free hyperbolic group.
Keywords
Cite
@article{arxiv.math/0401050,
title = {Growth exponent of generic groups},
author = {Yann Ollivier},
journal= {arXiv preprint arXiv:math/0401050},
year = {2007}
}
Comments
2nd version (full redaction): 24 pages