The domino problem on groups of polynomial growth

13 Jan 2018 · Ballier Alexis, Stein Maya ·

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.