Generators of the mapping class group of a nonorientable punctured surface

ALTUNÖZ T., PAMUK M., Yıldız O.

Journal of Knot Theory and its Ramifications, vol.34, no.7, 2025 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 34 Issue: 7
  • Publication Date: 2025
  • Doi Number: 10.1142/s0218216525500221
  • Journal Name: Journal of Knot Theory and its Ramifications
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Computer & Applied Sciences, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Keywords: generating sets, involutions, Mapping class groups, punctured surfaces
  • Middle East Technical University Affiliated: Yes

Abstract

Let Mod(Ng,p) denote the mapping class group of a nonorientable surface of genus g with p punctures. For g ≥ 14, we show that Mod(Ng,p) can be generated by five elements or by six involutions.