Commensurability and locally free Kleinian groups
Geometric Topology
2007-05-23 v1
Abstract
We show that there exist infinitely many commensurability classes of finite volume hyperbolic 3-manifolds whose fundamental group contains a subgroup which is locally free but not free. The main technical tool is the fact that a collection of hyperbolic 3-manifolds of bounded volume contains infinitely many commensurability classes. The result then by an application of Thurston's hyperbolization theorem for Haken 3-manifolds.
Cite
@article{arxiv.math/9903138,
title = {Commensurability and locally free Kleinian groups},
author = {James W. Anderson},
journal= {arXiv preprint arXiv:math/9903138},
year = {2007}
}
Comments
14 pages