The mapping class group is generated by two commutators


Baykur R. I. , KORKMAZ M.

JOURNAL OF ALGEBRA, cilt.574, ss.278-291, 2021 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 574
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1016/j.jalgebra.2021.01.021
  • Dergi Adı: JOURNAL OF ALGEBRA
  • Sayfa Sayıları: ss.278-291

Özet

We show that the mapping class group of any closed connected orientable surface of genus at least five is generated by only two commutators, and if the genus is three or four, by three commutators. (C) 2021 Elsevier Inc. All rights reserved.