The mapping class group is generated by two commutators.
The mapping class group is generated by two commutators.
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映射类组由两个交换器生成。
DOI：
10.1016/j.jalgebra.2021.01.021
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发表时间：
2021
影响因子：
0.9
通讯作者：
Korkmaz, M.
中科院分区：
文献类型：
--
作者：
Baykur, R. I.;Korkmaz, M.
我们证明，亏格至少为 5 的任何闭连通可定向曲面的映射类群仅由两个交换子生成，如果亏格为 3 或 4，则由 3 个交换子生成。
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.