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• W2166698119 abstract "In previous work, the first author established a natural bijection between minimal subshifts and maximal regular J -classes of free profinite semigroups. In this paper, the Schützenberger groups of such J -classes are investigated, in particular in respect to a conjecture proposed by the first author concerning their profinite presentation. The conjecture is established for all non-periodic minimal subshifts associated with substitutions. It entails that it is decidable whether a finite group is a quotient of such a profinite group. As a further application, the Schützenberger group of the J -class corresponding to the Prouhet-Thue-Morse subshift is shown to admit a somewhat simpler presentation, from which it follows that it has rank three, and that it is non-free relatively to any pseudovariety of groups." @default.
• W2166698119 created "2016-06-24" @default.
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• W2166698119 date "2013-08-01" @default.
• W2166698119 modified "2023-09-25" @default.
• W2166698119 title "Presentations of Schützenberger groups of minimal subshifts" @default.
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• W2166698119 doi "https://doi.org/10.1007/s11856-012-0139-4" @default.
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