论文标题
平衡超椭圆手柄组的小生成套件
A small generating set for the balanced superelliptic handlebody group
论文作者
论文摘要
平衡的超椭圆形手柄组是总空间的手柄组中平衡超纤维覆盖空间的转换组的标准器。我们证明，平衡的超elliptic映射类组由四个元素生成。为了证明这一点，我们还证明了可举起的希尔登集团由三个要素产生。除了某些过度椭圆形外，对于可升起的希尔登组的生成集是最小的，而在上面的平衡超ellippictic映射类组的生成集也很少。
The balanced superelliptic handlebody group is the normalizer of the transformation group of the balanced superelliptic covering space in the handlebody group of the total space. We prove that the balanced superelliptic mapping class group is generated by four elements. To prove this, we also proved that the liftable Hilden group is generated by three elements. This generating set for the liftable Hilden group is minimal except for some hyperelliptic cases and the generating set for the balanced superelliptic mapping class group above is also minimal for several cases.
