JOURNAL OF ALGEBRA, vol.574, pp.278-291, 2021 (SCI-Expanded)
Article / Article
JOURNAL OF ALGEBRA
Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
Mapping class group, Commutators, Generators of a group, Perfect groups, Symplectic group
Middle East Technical University Affiliated:
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.