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.

中文翻译：

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脊柱群的 Schreier 图

我们研究与一个庞大的群体家族相关的 Schreier 动力系统，这些群体拥有许多已知的中等增长群体的例子。我们对这些组在d- 规则的有根树及其边界，被视为拓扑空间或具有度量的空间。它们形成了有趣的有限分支图族，我们研究了它们的组合、它们的同构类和它们的几何特性，例如增长和端数。