论文标题

在没有有限生成的基团上的有限类型的上移次数

Aperiodic subshifts of finite type on groups which are not finitely generated

论文作者

Barbieri, Sebastián

论文摘要

我们提供了一个非有限生成的群体的示例,该群体承认非空置的Aperiodic SFT。此外,我们完全根据其有限生成的亚组及其共轭类的根源来完全表征该属性的群体。

We provide an example of a non-finitely generated group which admits a nonempty strongly aperiodic SFT. Furthermore, we completely characterize the groups with this property in terms of their finitely generated subgroups and the roots of their conjugacy classes.

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