Higher generation for pure braid groups
Group Theory
2014-03-18 v2 Geometric Topology
Abstract
We exhibit some families of subgroups of the pure braid group that are highly generating, in the sense of Abels and Holz. In one class of examples, the relevant geometric object is a complex termed the restricted arc complex of a surface. Another arises by considering "dangling braiges," introduced by Bux, Fluch, Schwandt, Witzel and the author.
Keywords
Cite
@article{arxiv.1212.1278,
title = {Higher generation for pure braid groups},
author = {Matthew C. B. Zaremsky},
journal= {arXiv preprint arXiv:1212.1278},
year = {2014}
}
Comments
This paper has been withdrawn by the author. Merged with arXiv:1210.2931 as an appendix. Withdrawn to avoid duplicate versions