English

Relative cubulations and groups with a 2-sphere boundary

Group Theory 2020-03-25 v1

Abstract

We introduce a new kind of action of a relatively hyperbolic group on a CAT(0) cube complex, called a relatively geometric action. We provide an application to characterize finite-volume Kleinian groups in terms of action on cube complexes, analogous to the results of Markovic and Ha\"issinsky in the closed case.

Keywords

Cite

@article{arxiv.1902.08140,
  title  = {Relative cubulations and groups with a 2-sphere boundary},
  author = {Eduard Einstein and Daniel Groves},
  journal= {arXiv preprint arXiv:1902.08140},
  year   = {2020}
}

Comments

5 pages

R2 v1 2026-06-23T07:47:22.672Z