Genericity of contracting geodesics in groups
Geometric Topology
2023-08-04 v1 Dynamical Systems
Group Theory
Abstract
Let G be a finitely generated group and Cay(G, S) be the Cayley graph of G with respect to a finite generating set S. We characterize the Gromov hyperbolicity of G in terms of the genericity of contracting elements in Cay(G, S).
Cite
@article{arxiv.2308.01877,
title = {Genericity of contracting geodesics in groups},
author = {Kunal Chawla and Inhyeok Choi and Giulio Tiozzo},
journal= {arXiv preprint arXiv:2308.01877},
year = {2023}
}
Comments
20 pages