The mapping class group is generated by two commutators
Geometric Topology
2019-08-30 v1 Group Theory
Abstract
We show that the mapping class group of any closed connected orientable surface of genus at least five is generated by only two commutators, and if the genus is three or four, by three commutators.
Cite
@article{arxiv.1908.11306,
title = {The mapping class group is generated by two commutators},
author = {R. Inanc Baykur and Mustafa Korkmaz},
journal= {arXiv preprint arXiv:1908.11306},
year = {2019}
}
Comments
15 pages, several color figures