Stable specific torsion length and periodic mapping classes
Geometric Topology
2021-08-02 v1 Group Theory
Abstract
We show that for any periodic mapping class, there is some power which maps a nonseparating, simple closed curve to a distinct, disjoint nonseparating curve. As an application of this result, we introduce the notion of stable specific torsion length of a group element and show that the stable specific torsion length of a Dehn twist is bounded above by six.
Cite
@article{arxiv.2107.14780,
title = {Stable specific torsion length and periodic mapping classes},
author = {Elizabeth Field and Yvon Verberne},
journal= {arXiv preprint arXiv:2107.14780},
year = {2021}
}
Comments
11 pages, 3 figures. Comments welcome