Linearly Bounded Conjugator Property for Mapping Class Groups
Geometric Topology
2012-11-06 v3 Group Theory
Abstract
Given two conjugate mapping classes f and g, we produce a conjugating element w such that |w| < K(|f|+|g|), where |.| denotes the word metric with respect to a fixed generating set, and K is a constant depending only on the generating set. As a consequence, the conjugacy problem for mapping class groups is exponentially bounded.
Cite
@article{arxiv.1106.2341,
title = {Linearly Bounded Conjugator Property for Mapping Class Groups},
author = {Jing Tao},
journal= {arXiv preprint arXiv:1106.2341},
year = {2012}
}
Comments
43 pages, 3 figures. Referee's comments incorporated. To appear in GAFA