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Minimal sofic shift on a group that is not finitely-generated

Published 9 Jul 2025 in math.DS, math.GR, and math.LO | (2507.06599v1)

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 $(F_4 \times F_2) \rtimes F_{\infty}$. The construction itself is based on simulation theory and properties of Thompson's~$V$.

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