The mapping class group is generated by two commutators


Baykur R. I. , KORKMAZ M.

JOURNAL OF ALGEBRA, vol.574, pp.278-291, 2021 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 574
  • Publication Date: 2021
  • Doi Number: 10.1016/j.jalgebra.2021.01.021
  • Title of Journal : JOURNAL OF ALGEBRA
  • Page Numbers: pp.278-291

Abstract

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.