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arXiv · 2204.02447

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

Sebastián Barbieri
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Abstract

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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Sebastián Barbieri. 2022-04-05. Aperiodic subshifts of finite type on groups which are not finitely generated. https://doi.org/10.1090/proc/16379

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