Cubulating random quotients of hyperbolic cubulated groups
Group Theory
2024-03-19 v3 Geometric Topology
Abstract
We show that low-density random quotients of cubulated hyperbolic groups are again cubulated (and hyperbolic). Ingredients of the proof include cubical small-cancellation theory, the exponential growth of conjugacy classes, and the statement that hyperplane stabilizers grow exponentially more slowly than the ambient cubical group.
Cite
@article{arxiv.2106.04497,
title = {Cubulating random quotients of hyperbolic cubulated groups},
author = {David Futer and Daniel T. Wise},
journal= {arXiv preprint arXiv:2106.04497},
year = {2024}
}
Comments
43 pages, 13 figures. v3 features improved exposition and references. This version to appear in Transactions of the AMS