Generating the mapping class group of a nonorientable surface by three torsions
Geometric Topology
2020-07-06 v1
Abstract
We prove that the mapping class group of a closed nonorientable surface of genus different than 4 is generated by three torsion elements. Moreover, for every even integer and of the form or , where are non-negative integers and is odd, is generated by three conjugate elements of order . Analogous results are proved for the subgroup of generated by Dehn twists.
Cite
@article{arxiv.2007.01640,
title = {Generating the mapping class group of a nonorientable surface by three torsions},
author = {Marta Leśniak and Błażej Szepietowski},
journal= {arXiv preprint arXiv:2007.01640},
year = {2020}
}
Comments
17 pages, 11 figures