Relative growth in hyperbolic groups
Dynamical Systems
2019-12-09 v2
Abstract
In this note we obtain estimates on the relative growth of normal subgroups of non-elementary hyperbolic groups, particularly those with free abelian quotient. As a corollary, we deduce that the associated relative growth series fail to be rational.
Keywords
Cite
@article{arxiv.1906.07503,
title = {Relative growth in hyperbolic groups},
author = {Stephen Cantrell and Richard Sharp},
journal= {arXiv preprint arXiv:1906.07503},
year = {2019}
}
Comments
10 pages