Addendum to "Tilings problems on Baumslag-Solitar groups"

preprint2021arXivOpen access

Abstract

In our article in MCU'2013 we state the the Domino problem is undecidable for all Baumslag-Solitar groups BS(m,n)BS(m,n), and claim that the proof is a direct adaptation of the construction of a weakly aperiodic subshift of finite type for BS(m,n)BS(m,n) given in the paper. In this addendum, we clarify this point and give a detailed proof of the undecidability result. We assume the reader is already familiar with the article in MCU'2013.

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