论文标题
实现残留有限的组作为分支组的亚组
Realizing residually finite groups as subgroups of branch groups
论文作者
论文摘要
我们证明，每一个有限生成的，有限的组$ g $都嵌入有限生成的完美分支组$γ$中，以便在此嵌入中保留许多$ g $的属性。其中包括扭转，可及时且不包含非亚伯自由群体的特性。作为应用程序，我们构建了有限生成的，不可划分的扭转分支组。
We prove that every finitely generated, residually finite group $G$ embeds into a finitely generated perfect branch group $Γ$ such that many properties of $G$ are preserved under this embedding. Among those are the properties of being torsion, being amenable, and not containing a non-abelian free group. As an application we construct a finitely generated, non-amenable torsion branch group.
