论文标题
Nielsen等价2-孔子组
Nielsen equivalence in closed 2-orbifold groups
论文作者
论文摘要
我们证明，足够大的二维球虫的基本组的任何生成元组都由几乎有孔的覆盖物表示。作为推论，我们获得了大声定理的概括，该定理断言，封闭表面的基本组的任何两个产生的元素都是尼尔森等效的。
We prove that any generating tuple of the fundamental group of a sufficiently large 2-dimensional orbifold is represented by an almost orbifold covering. As a corollary we obtain a generalization of Louder's Theorem which asserts that any two generating tuples of the fundamental group of a closed surface are Nielsen equivalent.
