Generating the mapping class group by torsion elements of small order
Geometric Topology
2009-12-17 v2 Group Theory
Abstract
We show that the mapping class group of a closed oriented surface of genus at least three is generated by 3 elements of order 3 and by 4 elements of order 4. Note that the mapping class group cannot be generated by finitely many torsion elements of same order if genus is equal to one or two.
Cite
@article{arxiv.0911.5080,
title = {Generating the mapping class group by torsion elements of small order},
author = {Naoyuki Monden},
journal= {arXiv preprint arXiv:0911.5080},
year = {2009}
}
Comments
19 pages, 23 figures