论文标题

一个分形非合同弱规则分支组的家族

A family of fractal non-contracting weakly regular branch groups

论文作者

Noce, Marialaura

论文摘要

我们构建了一个新的团体家族,这些家庭在派生的亚组上是非合同且弱规则的分支。这给出了一个无限的小组家族,该家族在$ d $ adi的树上,带有$ d \ geq 2 $,并带有这些属性。

We construct a new family of groups that is non-contracting and weakly regular branch over the derived subgroup. This gives the first example of an infinite family of groups acting on a $d$-adic tree, with $d \geq 2$, with these properties.

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