论文标题
平衡超付图班级组的有限演示
Finite presentations for the balanced superelliptic mapping class groups
论文作者
论文摘要
平衡的超elliptic映射类组是总表面的映射类组中平衡超纤维化覆盖空间的变换组的标准器。我们为平衡的封闭表面,一个标记点的表面和带有一个边界组件的表面提供了有限的陈述。为了给出这些演示,我们在\ cite {ghaswala-winarski1}中构建了与Ghaswala-Winarski的不同生成集中的相应升降映射类组的有限演示文稿。
The balanced superelliptic mapping class group is the normalizer of the transformation group of the balanced superelliptic covering space in the mapping class group of the total surface. We give finite presentations for the balanced superelliptic mapping class groups of closed surfaces, surfaces with one marked point, and surfaces with one boundary component. To give these presentations, we construct finite presentations for corresponding liftable mapping class groups in a different generating set from Ghaswala-Winarski's presentation in \cite{Ghaswala-Winarski1}.