Aperiodic Subshifts of Finite Type on Groups Which Are Not Finitely Generated

Barbieri-Lemp, S

doi:10.1090/proc/16379

Aperiodic Subshifts of Finite Type on Groups Which Are Not Finitely Generated

Journal

Proceedings of the American Mathematical Society

ISSN

1088-6826

Date Issued

2023

Author(s)

Barbieri-Lemp, S

DOI

https://doi.org/10.1090/proc/16379

Abstract

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. © 2023 American Mathematical Society.