论文标题
通过三个参与生成扩展的映射类组
Generating the Extended Mapping Class Group by Three Involutions
论文作者
论文摘要
我们证明，可以通过$ g \ geq 5 $的三个标准生成，可以生成三个相互定位的表面的扩展映射类组，即$ \ rm mod^{*}（σ_{g}）$。在有穿刺的情况下，我们证明$ \ rm mod^{*}（σ_{g，p}）$可以通过三个参与者生成，以$ g \ geq 10 $和$ p \ geq 6 $（除例外，对于$ g \ geq 11 $，$ p $应至少应为$ 15 $ $ 15 $）。
We prove that the extended mapping class group, $\rm Mod^{*}(Σ_{g})$, of a connected orientable surface of genus $g$, can be generated by three involutions for $g\geq 5$. In the presence of punctures, we prove that $\rm Mod^{*}(Σ_{g,p})$ can be generated by three involutions for $g\geq 10$ and $p\geq 6$ (with the exception that for $g\geq 11$, $p$ should be at least $15$).
