Generating the Mapping Class Group of a Nonorientable Surface by Two Elements or By Three Involutions

Tulin Altunoz; Mehmetcik Pamuk; Oguz Yildiz

Generating the Mapping Class Group of a Nonorientable Surface by Two Elements or By Three Involutions

Geometric Topology 2021-04-23 v1

Authors: Tulin Altunoz , Mehmetcik Pamuk , Oguz Yildiz

Abstract

We prove that, for $g\geq19$ the mapping class group of a nonorientable surface of genus $g$ , $\textrm{Mod}(N_g)$ , can be generated by two elements, one of which is of order $g$ . We also prove that for $g\geq26$ , $\textrm{Mod}(N_g)$ can be generated by three involutions if $g\geq26$ .

Keywords

mapping class groups of surfaces mapping class groups

Cite

@article{arxiv.2104.10958,
  title  = {Generating the Mapping Class Group of a Nonorientable Surface by Two Elements or By Three Involutions},
  author = {Tulin Altunoz and Mehmetcik Pamuk and Oguz Yildiz},
  journal= {arXiv preprint arXiv:2104.10958},
  year   = {2021}
}

Comments

9 pages, 5 figures

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