English

Agol's theorem on hyperbolic cubulations

Geometric Topology 2021-04-05 v2 Group Theory

Abstract

Agol proved that hyperbolic cubulated groups are virtually special. The aim of these notes is to make the proof accessible to a wider audience; we retain the underlying ideas and constructions of Agol, but substantially change or add to many parts of the argument to give a more transparent and detailed account.

Keywords

Cite

@article{arxiv.1905.06199,
  title  = {Agol's theorem on hyperbolic cubulations},
  author = {Sam Shepherd},
  journal= {arXiv preprint arXiv:1905.06199},
  year   = {2021}
}

Comments

32 pages. v2: An expanded introduction, moderate changes to the argument in Section 9 and minor changes elsewhere. To appear in the Rocky Mountain Journal of Mathematics

R2 v1 2026-06-23T09:07:26.648Z