论文标题
仅限无限组的分支组和细分产物的有限生成的亚组
Finitely generated subgroups of branch groups and subdirect products of just infinite groups
论文作者
论文摘要
本文的目的是描述一个分支组的有限生成的亚组的结构，其中包括第一个Grigorchuk组和Gupta-Sidki 3组。此描述是通过块子组的概念进行的。然后，我们使用它来表明上述家族中的所有组都是可分离的（LERF）。这些结果是作为关于仅无限基团的细分产物的更一般结构陈述的必然的。
The aim of this paper is to describe the structure of the finitely generated subgroups of a family of branch groups, which includes the first Grigorchuk group and the Gupta-Sidki 3-group. This description is made via the notion of block subgroup. We then use this to show that all groups in the above family are subgroup separable (LERF). These results are obtained as a corollary of a more general structural statement on subdirect products of just infinite groups.
