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

Published 5 Apr 2022 in math.DS and math.GR | (2204.02447v3)

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

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