类似平移的动作产生正则映射
Translation-like actions yield regular maps
摘要：
有限生成群$H$和$G$，我们观察到，$H$在$G$上有一个类反作用，这意味着存在一个正则映射，这是Benjamini，Schramm和Timár的联合论文中引入的，从$H$到$G$ .结合几个已知的正则映射存在的障碍，我们有各种各样的应用。例如，我们证明了Baumslag-Solitar群在经典的lampighter群上不允许有类似的作用。
英文摘要：
For finitely generated groups $H$ and $G$, we observe that $H$ admits a translation-like action on $G$ implies there is a regular map, which was introduced in Benjamini, Schramm and Timár's joint paper, from $H$ to $G$. Combining with several known obstructions to the existence of regular maps, we have various applications. For example, we show that the Baumslag-Solitar groups do not admit translation-like actions on the classical lamplighter group.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
