Please use this identifier to cite or link to this item: http://hdl.handle.net/10316/13717
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dc.contributor.authorAlmeida, Jorge-
dc.contributor.authorCosta, Alfredo-
dc.date.accessioned2010-08-25T12:52:07Z-
dc.date.available2010-08-25T12:52:07Z-
dc.date.issued2010-
dc.identifier.citationPré-Publicações DMUC. 10-01 (2010)en_US
dc.identifier.urihttp://hdl.handle.net/10316/13717-
dc.description.abstractIn 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 Sch¨utzenberger 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 several types of minimal subshifts associated with substitutions. The Sch¨utzenberger subgroup 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 satisfies the conjecture, that it has rank three, and that it is non-free relatively to any pseudovariety of groups.en_US
dc.language.isoengen_US
dc.publisherCentro de Matemática da Universidade de Coimbraen_US
dc.rightsopenAccessen_US
dc.subjectProfinite group presentationen_US
dc.subjectFree profinite semigroupen_US
dc.subjectSubshiften_US
dc.subjectProuhet-Thue-Morse substitutionen_US
dc.titlePresentations of Schützenberger groups of minimal subshiftsen_US
dc.typepreprinten_US
degois.publication.issue10-01en_US
degois.publication.locationCoimbraen_US
degois.publication.titlePré-Publicações DMUCen_US
item.languageiso639-1en-
item.fulltextCom Texto completo-
item.grantfulltextopen-
crisitem.author.deptFaculdade de Ciências e Tecnologia, Universidade de Coimbra-
crisitem.author.parentdeptUniversidade de Coimbra-
crisitem.author.researchunitCenter for Mathematics, University of Coimbra-
crisitem.author.orcid0000-0001-5906-965X-
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