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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.doi:10.4204/eptcs.128.12 fatcat:7eesubdlvzhzlpnajs3svtrlye