Surface groups, infinite generating sets, and stable commutator length
Geometric Topology
2021-03-02 v3 Group Theory
Abstract
We give a new proof of a theorem of D. Calegari that says that the Cayley graph of a surface group with respect to any generating set lying in finitely many mapping class group orbits has infinite diameter. This applies, for instance, to the generating set consisting of all simple closed curves.
Cite
@article{arxiv.1807.00833,
title = {Surface groups, infinite generating sets, and stable commutator length},
author = {Dan Margalit and Andrew Putman},
journal= {arXiv preprint arXiv:1807.00833},
year = {2021}
}
Comments
8 pages, 2 figures; to appear in Proc. Roy. Soc. Edinburgh Sect. A