论文标题
带有两个发电机的组的表面组猜想
The Surface Group Conjectures for groups with two generators
论文作者
论文摘要
表面组的猜想是使用其有限索引亚组的结构或所有亚组的结构，以识别单层基组之间的表面组的陈述。我们在两个发生器情况下解决这些猜想。更普遍地，我们证明，每个Infinite-Index亚组免费的每个两发者的单层群本身都是免费的，也是表面组。
The Surface Group Conjectures are statements about recognising surface groups among one-relator groups, using either the structure of their finite-index subgroups, or all subgroups. We resolve these conjectures in the two generator case. More generally, we prove that every two-generator one-relator group with every infinite-index subgroup free is itself either free or a surface group.
