论文标题
无限级自由组的自动形态群体是粗糙的
The Automorphism Group of the Infinite-Rank Free Group is Coarsely Bounded
论文作者
论文摘要
我们证明，自由态度的完整自动形态组和外部自动形态群体是无限等级的界限。也就是说，这些组承认在具有无限轨道的度量空间上没有连续的作用，并且具有一个点类型的点类型。
We prove that the full automorphism group and the outer automorphism group of the free group of countably infinite rank are coarsely bounded. That is, these groups admit no continuous actions on a metric space with unbounded orbits, and have the quasi-isometry type of a point.
