论文标题
脊柱组的schreier图
Schreier graphs of spinal groups
论文作者
论文摘要
我们研究了与大量群体相关的Schreier动力系统，这些群体拥有许多已知的中间生长群体的例子。我们对这些组对$ d- $常规生根的树的作用以及它们的边界的作用感兴趣，并将其视为拓扑空间或具有度量的空间。它们形成了有限分析图的有趣家族，我们研究了它们的组合学，同构类别和几何特性，例如增长和目的数量。
We study Schreier dynamical systems associated with a vast family of groups that hosts many known examples of groups of intermediate growth. We are interested in the orbital graphs for the actions of these groups on $d-$regular rooted trees and on their boundaries, viewed as topological spaces or as spaces with measure. They form interesting families of finitely ramified graphs, and we study their combinatorics, their isomorphism classes and their geometric properties, such as growth and the number of ends.
