论文标题
平衡的超临时映射类组由三个元素生成
The balanced superelliptic mapping class groups are generated by three elements
论文作者
论文摘要
平衡的超付图映射类组是总表面的映射类组中平衡超纤维化覆盖的转换组的标准器。我们证明，具有一个标记点，一个边界成分或没有标记点和边界的平衡超闪烁映射类组由三个元素生成。为了证明这一点，我们还表明其可升级映射类组也由三个要素生成。除了几个没有明显的点和边界案例外，这些生成集是最小的。
The balanced superelliptic mapping class group is the normalizer of the transformation group of the balanced superelliptic covering in the mapping class group of the total surface. We prove that the balanced superelliptic mapping class groups with either one marked point, one boundary component, or no marked points and boundary are generated by three elements. To prove this, we also show that its liftable mapping class groups are also generated by three elements. These generating sets are minimal except for several no marked points and boundary cases.
