English

New nonlinear hyperbolic groups

Group Theory 2019-04-24 v3 Geometric Topology

Abstract

We construct nonlinear hyperbolic groups which are large, torsion-free, one-ended, and admit a finite K(π,1)K(\pi,1). Our examples are built from superrigid cocompact rank one lattices via amalgamated free products and HNN extensions.

Keywords

Cite

@article{arxiv.1806.02544,
  title  = {New nonlinear hyperbolic groups},
  author = {Richard Canary and Matthew Stover and Konstantinos Tsouvalas},
  journal= {arXiv preprint arXiv:1806.02544},
  year   = {2019}
}