Generators of the mapping class group of a nonorientable punctured surface

ALTUNÖZ T., PAMUK M., Yıldız O.

Journal of Knot Theory and its Ramifications, cilt.34, sa.7, 2025 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 34 Sayı: 7
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1142/s0218216525500221
  • Dergi Adı: Journal of Knot Theory and its Ramifications
  • Derginin Tarandığı İndeksler: 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
  • Anahtar Kelimeler: generating sets, involutions, Mapping class groups, punctured surfaces
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

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.