Tiling Problems on Baumslag-Solitar groups

Abstract

We exhibit a weakly aperiodic tile set for Baumslag-Solitar groups, and prove that the domino problem is undecidable on these groups. A consequence of our construction is the existence of an arecursive tile set on Baumslag-Solitar groups.

In Proceedings MCU 2013, arXiv:1309.1043

References in corpus (1)

• About the domino problem in the hyperbolic plane, a new solution: complement

Cited by in corpus (3)

• A notion of effectiveness for subshifts on finitely generated groups
• Aperiodic subshifts of finite type on groups which are not finitely generated
• Subshifts and colorings on ascending HNN-extensions of finitely generated abelian groups