Stable length in stable groups
Group Theory
2013-01-29 v1 Geometric Topology
Abstract
We show that the stable commutator length vanishes for certain groups defined as infinite unions of smaller groups. The argument uses a group-theoretic analogue of the Mazur swindle, and goes back to the works of Anderson, Fisher, and Mather on homeomorphism groups.
Cite
@article{arxiv.0806.2771,
title = {Stable length in stable groups},
author = {D. Kotschick},
journal= {arXiv preprint arXiv:0806.2771},
year = {2013}
}
Comments
Dedicated to Shigeyuki Morita on the occasion of his 60th birthday. To appear in Groups of Diffeomorphisms (Mathematical Society of Japan)