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arXiv · 1311.4222

The domino problem on groups of polynomial growth

Alexis Ballier·Maya Stein
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Abstract

We characterize the virtually nilpotent finitely generated groups (or, equivalently by Gromov's theorem, groups of polynomial growth) for which the Domino Problem is decidable: These are the virtually free groups, i.e. finite groups, and those having $\Z$ as a subgroup of finite index.

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Alexis Ballier, Maya Stein. 2013-11-17. The domino problem on groups of polynomial growth. https://arxiv.org/abs/1311.4222

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