No-splitting property and boundaries of random groups
Geometric Topology
2021-04-02 v1 Group Theory
Abstract
We prove that random groups in the Gromov density model, at any density, satisfy property (FA), i.e. they do not act non-trivially on trees. This implies that their Gromov boundaries, defined at density less than 1/2, are Menger curves.
Keywords
Cite
@article{arxiv.0904.3854,
title = {No-splitting property and boundaries of random groups},
author = {François Dahmani and Vincent Guirardel and Piotr Przytycki},
journal= {arXiv preprint arXiv:0904.3854},
year = {2021}
}
Comments
20 pages