Generating the mapping class group of a nonorientable surface of genus $g \geq 13$ by two elements
Geometric Topology
2026-05-14 v1
Abstract
Let be a closed, connected, nonorientable surface of genus . We prove that for , the mapping class group can be generated by exactly two elements. This improves the previously known bound of .
Cite
@article{arxiv.2605.13372,
title = {Generating the mapping class group of a nonorientable surface of genus $g \geq 13$ by two elements},
author = {Berkay Aybak and Hasan Ozden},
journal= {arXiv preprint arXiv:2605.13372},
year = {2026}
}