Electronic Proceedings in Theoretical Computer Science (Sep 2013)

Tiling Problems on Baumslag-Solitar groups.

  • Nathalie Aubrun,
  • Jarkko Kari

DOI
https://doi.org/10.4204/EPTCS.128.12
Journal volume & issue
Vol. 128, no. Proc. MCU 2013
pp. 35 – 46

Abstract

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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.