naa a22 4500 510782957 CHVBK 20180411083253.0 cr unu---uuuuu 180411e20130801xx s 000 0 eng 10.1007/s11856-012-0139-4 doi (NATIONALLICENCE)springer-10.1007/s11856-012-0139-4 Presentations of Schützenberger groups of minimal subshifts [Elektronische Daten] [Jorge Almeida, Alfredo Costa] 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. Hebrew University Magnes Press, 2013 Almeida Jorge CMUP, Departamento de Matemática, Faculdade de Ciências, Universidade do Porto, Rua do Campo Alegre 687, 4169-007, Porto, Portugal aut Costa Alfredo CMUC, Department of Mathematics, University of Coimbra, 3001-454, Coimbra, Portugal aut Israel Journal of Mathematics Springer US; http://www.springer-ny.com 196/1(2013-08-01), 1-31 0021-2172 196:1<1 2013 196 11856 https://doi.org/10.1007/s11856-012-0139-4 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11856-012-0139-4 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Almeida Jorge CMUP, Departamento de Matemática, Faculdade de Ciências, Universidade do Porto, Rua do Campo Alegre 687, 4169-007, Porto, Portugal aut NATIONALLICENCE 700 1- Costa Alfredo CMUC, Department of Mathematics, University of Coimbra, 3001-454, Coimbra, Portugal aut NATIONALLICENCE 773 0- Israel Journal of Mathematics Springer US; http://www.springer-ny.com 196/1(2013-08-01), 1-31 0021-2172 196:1<1 2013 196 11856 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer