Imbeddings of free actions on handlebodies
Geometric Topology
2007-05-23 v1
Abstract
Fix a free, orientation-preserving action of a finite group G on a 3-dimensional handlebody V. Whenever G acts freely preserving orientation on a connected 3-manifold X, there is a G-equivariant imbedding of V into X. There are choices of X closed and Seifert-fibered for which the image of V is a handlebody of a Heegaard splitting of X. Provided that the genus of V is at least 2, there are similar choices with X closed and hyperbolic.
Cite
@article{arxiv.math/0110078,
title = {Imbeddings of free actions on handlebodies},
author = {Darryl McCullough},
journal= {arXiv preprint arXiv:math/0110078},
year = {2007}
}