On the boundary criterion for relative cubulation: multi-ended parabolics
Group Theory
2024-09-24 v1 Geometric Topology
Abstract
In this note, we clarify that the boundary criterion for relative cubulation of the first author and Groves works even when the peripheral subgroups are not one-ended. Specifically, if the boundary criterion is satisfied for a relatively hyperbolic group, we show that, up to taking a refined peripheral structure, the group admits a relatively geometric action on a CAT(0) cube complex. We anticipate that this refinement will be useful for constructing new relative cubulations in a variety of settings.
Cite
@article{arxiv.2409.14290,
title = {On the boundary criterion for relative cubulation: multi-ended parabolics},
author = {Eduard Einstein and Suraj Krishna MS and Thomas Ng},
journal= {arXiv preprint arXiv:2409.14290},
year = {2024}
}
Comments
12 pages