GENERATING THE EXTENDED MAPPING CLASS GROUP BY THREE INVOLUTIONS

ALTUNOZ T. U. L. I. N., PAMUK M. E. H. M. E. T. C. I. K., YILDIZ O. G. U. Z.

OSAKA JOURNAL OF MATHEMATICS, cilt.60, sa.1, ss.61-75, 2023 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 60 Sayı: 1
  • Basım Tarihi: 2023
  • Dergi Adı: OSAKA JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.61-75
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

We prove that the extended mapping class group, Mod*(S-g), of a connected orientable surface of genus g, can be generated by three involutions for g = 5. In the presence of punctures, we prove that Mod*(S-g,S-p) can be generated by three involutions for g =10 and p = 6 (with the exception that for g = 11, p should be at least 15).