English

Controlling manifold covers of orbifolds

Geometric Topology 2009-09-10 v1 Group Theory

Abstract

In this article we prove a generalization of Selberg's lemma on the existence of torsion free, finite index subgroups of arithmetic groups. Some of the geometric applications are the resolution a conjecture of Nimershiem and answers to questions of Long-Reid and the author.

Keywords

Cite

@article{arxiv.0901.4239,
  title  = {Controlling manifold covers of orbifolds},
  author = {D. B. McReynolds},
  journal= {arXiv preprint arXiv:0901.4239},
  year   = {2009}
}