Commensurated hyperbolic subgroups
Group Theory
2024-04-26 v2 Geometric Topology
Abstract
We show that if H is a non-elementary hyperbolic commensurated subgroup of infinite index in a hyperbolic group G, then H is virtually a free product of hyperbolic surface groups and free groups. We prove that whenever a one-ended hyperbolic group H is a fiber of a non-trivial hyperbolic bundle then H virtually splits over a 2-ended subgroup.
Cite
@article{arxiv.2309.13644,
title = {Commensurated hyperbolic subgroups},
author = {Nir Lazarovich and Alex Margolis and Mahan Mj},
journal= {arXiv preprint arXiv:2309.13644},
year = {2024}
}
Comments
v2: 25pgs no figures. Final version, to appear in Transactions AMS