For a nonorientable surface, the twist subgroup is an index $2$ subgroup of the mapping class group generated by Dehn twists about two-sided simple closed curves. In this paper, we consider involution generators of the twist subgroup and give generating sets of involutions with smaller number of generators than the ones known in the literature using new techniques for finding involution generators.

中文翻译：

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通过对合生成扭曲子群

对于不可定向的曲面，扭曲子群是一个索引$\mathrm{2个}$Dehn 生成的映射类组的子组围绕双侧简单闭合曲线扭曲。在本文中，我们考虑了扭曲子群的对合生成器，并使用寻找对合生成器的新技术给出了生成器数量少于文献中已知的对合生成器集。