Torsion normal generators of the mapping class group of a non-orientable surface
Geometric Topology
2019-03-26 v1
Abstract
We show that the normal closure of any periodic element of the mapping class group of a non-orientable surface whose order is greater than 2 contains the commutator subgroup, which for is equal to the twist subgroup, and provide necessary and sufficient conditions for the normal closures of involutions to contain the twist subgroup. Finally, we provide a criterion for a periodic element to normally generate and give examples.
Keywords
Cite
@article{arxiv.1903.10285,
title = {Torsion normal generators of the mapping class group of a non-orientable surface},
author = {Marta Leśniak},
journal= {arXiv preprint arXiv:1903.10285},
year = {2019}
}
Comments
33 pages, 29 figures