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arXiv · 2409.14525

Snakes can be fooled into thinking they live in a tree

Laurent Bartholdi·Ville Salo
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Abstract

We construct a finitely generated group which is not virtually free, yet has decidable snake tiling problem. This shows that either a long-standing conjecture by Ballier and Stein (the characterization of groups with decidable domino problem as those virtually free ones) is false, or a question by Aubrun and Bitar has a positive answer (there exists a group for which the domino and snake problems are of different difficulty).

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BibTeXRIS

Laurent Bartholdi, Ville Salo. 2024-09-22. Snakes can be fooled into thinking they live in a tree. https://arxiv.org/abs/2409.14525

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