On the Involution Generators of the Mapping Class Group of a Punctured Surface
Mediterranean Journal of Mathematics, vol.20, no.4, 2023 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 20 Issue: 4
- Publication Date: 2023
- Doi Number: 10.1007/s00009-023-02439-6
- Journal Name: Mediterranean Journal of Mathematics
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, DIALNET
- Keywords: generating sets, involutions, Mapping class groups, punctured surfaces
- Open Archive Collection: AVESIS Open Access Collection
- Middle East Technical University Affiliated: Yes
Abstract
Let Mod (Σ g,p) denote the mapping class group of a connected orientable surface of genus g with p punctures. For g≥ 14 and even p≥ 10 , we prove that Mod (Σ g,p) can be generated by three involutions. For g≥ 13 and even p≥ 9 , we prove that Mod (Σ g,p) can be generated by four involutions. Moreover, for even p≥ 4 and 3 ≤ g≤ 6 , Mod (Σ g,p) can be generated by four involutions.