We consider the finitely generated groups acting on a regular tree with almost prescribed local action. We show that these groups embed as cocompact irreducible lattices in some locally compact wreath products. This provides examples of finitely generated simple groups quasi-isometric to a wreath product $C\wr F$, where $C$ is a finite group and $F$ a non-abelian free group.

中文翻译：

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花环产品中的简单群和不可约格

我们考虑作用在具有几乎规定的局部动作的规则树上的有限生成组。我们表明，这些组在一些局部紧凑的花环产品中嵌入了共紧凑的不可约晶格。这提供了与花环产品拟等距的有限生成简单群的示例$C\wr F$， 在哪里$加元是一个有限群并且$F$一个非阿贝尔自由群。