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arxiv: 1510.02360 · v2 · pith:KOZA3S33new · submitted 2015-10-08 · 💻 cs.DM · math.GR

Aperiodic Subshifts on Polycyclic Groups

classification 💻 cs.DM math.GR
keywords aperiodicpolycyclicadmitsanswersdominoeverygeneralizesgroup
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We prove that every polycyclic group of nonlinear growth admits a strongly aperiodic SFT and has an undecidable domino problem. This answers a question of [4] and generalizes the result of [2].

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