Aperiodic subshifts of finite type on groups which are not finitely generated
Sebastián Barbieri · Proceedings of the American Mathematical Society · 2022
We provide an example of a non-finitely generated group which admits a nonempty strongly aperiodic subshift of finite type. Furthermore, we completely characterize the groups with this property in terms of their finitely generated subgroups and the roots of their conjugacy classes.