The mapping class group is generated by two commutators

2019/08/29 by R. İnanç Baykur, Mustafa Korkmaz, Baykur, R. Inanc +1 · 2 citations
Mathematics · Computer Science · #Geometric and Algebraic Topology #semigroups and automata theory #Finite Group Theory Research

paper · doi:10.1016/j.jalgebra.2021.01.021

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.

Citations

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Cited by

• On Nielsen equivalence classes of two-elements generators of mapping class groups
• Minimal Generation of Mapping Class Groups: A Survey of the Nonorientable Case