扭转子群的扭转发生器

IF 0.4 4区 数学 Q4 MATHEMATICS Tohoku Mathematical Journal Pub Date : 2020-01-16 DOI:10.2748/tmj.20210407
Tulin Altunoz, Mehmetcik Pamuk, O. Yildiz
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引用次数: 2

摘要

我们证明了一个闭连通的不可定向曲面$g\geq13$的映射类群的扭转子群可以由两个对合和一个阶为$g$或$g-1$的元素分别根据$g$是奇还是偶而生成。
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Torsion generators of the twist subgroup
We showed that the twist subgroup of the mapping class group of a closed connected nonorientable surface of genus $g\geq13$ can be generated by two involutions and an element of order $g$ or $g-1$ depending on whether $g$ is odd or even respectively.
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