The group (F4 x F2) rtimes F_infinity, which is not finitely generated, is shown to admit an infinite minimal sofic shift, answering Question 7.18(ii) of Doucha, Melleray and Tsankov.
Properties generic for Lebesgue space auto- morphisms are generic for measure-preserving manifold homeomorphisms
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Minimal sofic shift on a group that is not finitely-generated
The group (F4 x F2) rtimes F_infinity, which is not finitely generated, is shown to admit an infinite minimal sofic shift, answering Question 7.18(ii) of Doucha, Melleray and Tsankov.