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The mapping class group is generated by two commutators
Date
2021-05-01
Author
Baykur, R. Inanc
Korkmaz, Mustafa
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Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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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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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.