The mapping class group is generated by two commutators

Baykur, R. Inanc
Korkmaz, Mustafa
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.


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ERSOY, KIVANÇ; Kuzucuoğlu, Mahmut; Shunwatsky, Pavel (2017-07-01)
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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: