Failure of separation by quasi-homomorphisms in mapping class groups
Geometric Topology
2013-03-04 v1 Group Theory
Abstract
We show that mapping class groups of surfaces of genus at least two contain elements of infinite order that are not conjugate to their inverses, but whose powers have bounded torsion lengths. In particular every homogeneous quasi-homomorphism vanishes on such an element, showing that elements of infinite order not conjugate to their inverses cannot be separated by quasi-homomorphisms.
Cite
@article{arxiv.math/0606199,
title = {Failure of separation by quasi-homomorphisms in mapping class groups},
author = {H. Endo and D. Kotschick},
journal= {arXiv preprint arXiv:math/0606199},
year = {2013}
}
Comments
4 pages