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Aperiodic Subshifts on Polycyclic Groups

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arxiv 1510.02360 v2 pith:KOZA3S33 submitted 2015-10-08 cs.DM math.GR

Emmanuel Jeandel (CARTE) This is my paper · ORCID
classification cs.DMmath.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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  1. Period-rigidity of one-relator groups

    math.GR 2025-02 conditional novelty 6.0 of 10

    One-relator groups with at least three generators are never periodically rigid, and quasi-planar groups are rigid exactly when virtually cyclic or torsion-free virtually Z^2.

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