Quasi-homomorphisms and stable lengths in mapping class groups
Group Theory
2007-05-23 v2 Geometric Topology
Abstract
We give elementary applications of quasi-homomorphisms to growth problems in groups. A particular case concerns the number of torsion elements required to factorise a given element in the mapping class group of a surface.
Cite
@article{arxiv.math/0307362,
title = {Quasi-homomorphisms and stable lengths in mapping class groups},
author = {D. Kotschick},
journal= {arXiv preprint arXiv:math/0307362},
year = {2007}
}
Comments
Revised to include a discussion of weak bounded generation, both in general and for mapping class groups; now 8 pages