English

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 NgN_g be a closed, connected, nonorientable surface of genus gg. We prove that for g13g \ge 13, the mapping class group Mod(Ng)\text{Mod}(N_g) can be generated by exactly two elements. This improves the previously known bound of g19g \ge 19.

Keywords

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}
}