Surface subgroups of Kleinian groups with torsion
Geometric Topology
2009-07-28 v3 Differential Geometry
Abstract
We prove that every finitely generated Kleinian group that contains a finite, non-cyclic subgroup either is finite or virtually free or contains a surface subgroup. Hence, every arithmetic Kleinian group contains a surface subgroup.
Cite
@article{arxiv.0804.1309,
title = {Surface subgroups of Kleinian groups with torsion},
author = {Marc Lackenby},
journal= {arXiv preprint arXiv:0804.1309},
year = {2009}
}
Comments
21 pages, 2 figures; final version, to appear in Invent. Math