English

A presentation for the mapping class group of a nonorientable surface

Geometric Topology 2017-02-09 v1

Abstract

Let Ng,nN_{g,n} denote the nonorientable surface of genus gg with nn boundary components and M(Ng,n)M(N_{g,n}) its mapping class group. We obtain an explicit finite presentation of M(Ng,n)M(N_{g,n}) for n=0,1n=0,1 and all gg such that g+n>3g+n>3.

Keywords

Cite

@article{arxiv.1308.5856,
  title  = {A presentation for the mapping class group of a nonorientable surface},
  author = {Luis Paris and Blazej Szepietowski},
  journal= {arXiv preprint arXiv:1308.5856},
  year   = {2017}
}
R2 v1 2026-06-22T01:15:44.618Z