论文标题
在包含Grigorchuk组的拓扑完整组上
On the topological full group containing the Grigorchuk group
论文作者
论文摘要
我们认为由替代$ a \ to aca $，$ b \ to d $，$ c \ to b $，$ d \ to c $的替代子换档的拓扑完整组。这组很有趣，因为Grigorchuk组自然嵌入其中。我们证明，拓扑完整组有限地生成，并为其提供简单的生成集。
We consider the topological full group of a substitution subshift induced by a substitution $a\to aca$, $b\to d$, $c\to b$, $d\to c$. This group is interesting since the Grigorchuk group naturally embeds into it. We show that the topological full group is finitely generated and give a simple generating set for it.
