Generators of the mapping class group of a nonorientable punctured surface
Journal of Knot Theory and its Ramifications, vol.34, no.7, 2025 (SCI-Expanded, Scopus)
- 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.