Aperiodic subshifts of finite type on groups which are not finitely generated
arXiv:2204.02447 · doi:10.1090/proc/16379
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.
Fixed some errors from the previous version