Free vs. Locally Free Kleinian Groups
Geometric Topology
2015-06-02 v1 Group Theory
Abstract
We prove that Kleinian groups whose limit sets are Cantor sets of Hausdorff dimension are free. On the other hand we construct for any examples of non-free purely hyperbolic Kleinian groups whose limit set is a Cantor set of Hausdorff dimension .
Cite
@article{arxiv.1506.00156,
title = {Free vs. Locally Free Kleinian Groups},
author = {Pekka Pankka and Juan Souto},
journal= {arXiv preprint arXiv:1506.00156},
year = {2015}
}