The mapping class group is generated by two commutators

Date

2021-05-01

Author

Baykur, R. Inanc
Korkmaz, Mustafa

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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.

Subject Keywords

Mapping class group, Commutators, Generators of a group, Perfect groups, Symplectic group

URI

https://hdl.handle.net/11511/89530

Journal

JOURNAL OF ALGEBRA

DOI

https://doi.org/10.1016/j.jalgebra.2021.01.021

Collections

Department of Mathematics, Article

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Citation Formats

R. I. Baykur and M. Korkmaz, “The mapping class group is generated by two commutators,” JOURNAL OF ALGEBRA, pp. 278–291, 2021, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/89530.