Minimal sofic shift on a group that is not finitely-generated
Dynamical Systems
2025-07-10 v1 Group Theory
Logic
Abstract
We prove that there exists a group which is not finitely generated, but admits a minimal sofic shift. This answers a question of Doucha, Melleray and Tsankov. The group is of the form . The construction itself is based on simulation theory and properties of Thompson's~.
Cite
@article{arxiv.2507.06599,
title = {Minimal sofic shift on a group that is not finitely-generated},
author = {Ville Salo},
journal= {arXiv preprint arXiv:2507.06599},
year = {2025}
}
Comments
14 pages