论文标题
基本表面组的无限演示
Infinite presentations for fundamental groups of surfaces
论文作者
论文摘要
对于任何有限类型连接的Surface $ S $，我们在{s} $ in {s} $中的基于$ s $的基本组$π_1（s，\ ast）$的无限介绍，其发电机由简单的loops表示。当$ s $不可取向时，我们还会给出由元素生成的$π_1（s，\ ast）$的子组的无限陈述，这些元素由元素生成的元素，这些元素由普通社区的简单循环表示。
For any finite type connected surface $S$, we give an infinite presentation of the fundamental group $π_1(S,\ast)$ of $S$ based at an interior point $\ast\in{S}$ whose generators are represented by simple loops. When $S$ is non-orientable, we also give an infinite presentation of the subgroup of $π_1(S,\ast)$ generated by elements which are represented by simple loops whose regular neighborhoods are annuli.
