论文标题
在刺穿表面的映射类组的涉及发电机上
On the involution generators of the mapping class group of a punctured surface
论文作者
论文摘要
令mod（sigma_ {g，p}）表示带有p穿刺的属G属的可定向表面的映射类组。对于每个均匀的整数P \ geq 10和g \ geq 14，我们证明Mod（Sigma_ {g，p}）可以通过三个参与生成。如果穿刺p的数量为奇数和\ geq 9，我们表明g \ geq 13的mod（sigma_ {g，p}）可以通过四个互动生成。此外，我们表明，对于整数P \ geq 4和3 \ leq g \ geq 6，mod（sigma_ {g，p}），可以通过四个参与来生成。
Let Mod(Sigma_{g, p}) denote the mapping class group of a connected orientable surface of genus g with p punctures. For every even integer p \geq 10 and g \geq 14, we prove that Mod(Sigma_{g, p}) can be generated by three involutions. If the number of punctures p is odd and \geq 9, we show that Mod(Sigma_{g, p}) for g \geq 13 can be generated by four involutions. Moreover, we show that for an even integer p \geq 4 and 3 \leq g \geq 6, Mod(Sigma_{g, p}) can be generated by four involutions.
