Hyperbolic groups acting improperly
Group Theory
2023-12-13 v5
Abstract
In this paper we study hyperbolic groups acting on CAT(0) cube complexes. The first main result (Theorem A) is a structural result about the Sageev construction, in which we relate quasi-convexity of hyperplane stabilizers with quasi-convexity of cell stabilizers. The second main result (Theorem D) generalizes both Agol's theorem on cubulated hyperbolic groups and Wise's Quasi-convex Hierarchy Theorem.
Cite
@article{arxiv.1808.02325,
title = {Hyperbolic groups acting improperly},
author = {Daniel Groves and Jason F. Manning},
journal= {arXiv preprint arXiv:1808.02325},
year = {2023}
}
Comments
54pp. v5 is the accepted version. To appear in Geometry and Topology