Gromov's random monsters do not act non-elementarily on hyperbolic spaces
Group Theory
2017-05-30 v1
Abstract
We show that Gromov's monster groups arising from i.i.d. labelings of expander graphs do not admit non-elementary actions on geodesic hyperbolic spaces. The proof relies on comparing properties of random walks on randomly labeled graphs and on groups acting non-elementarily on hyperbolic spaces.
Cite
@article{arxiv.1705.10258,
title = {Gromov's random monsters do not act non-elementarily on hyperbolic spaces},
author = {Dominik Gruber and Alessandro Sisto and Romain Tessera},
journal= {arXiv preprint arXiv:1705.10258},
year = {2017}
}
Comments
6 pages