论文标题

扭曲子组的扭转发生器

Torsion Generators of the Twist Subgroup

论文作者

Altunoz, Tulin, Pamuk, Mehmetcik, Yildiz, Oguz

论文摘要

我们表明,可以通过两种参与$ G $ g $或$ g-1 $的元素生成的封闭连接的不可取向表面的映射类组组的扭曲子组,这取决于$ g $是奇数的,甚至分别为奇数。

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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