Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/43884
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Almeida, Jorge | - |
dc.contributor.author | Costa, Alfredo | - |
dc.date.accessioned | 2017-10-12T14:55:41Z | - |
dc.date.available | 2010-08-25T12:52:07Z | - |
dc.date.issued | 2013 | - |
dc.identifier.uri | https://hdl.handle.net/10316/43884 | - |
dc.description.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. | - |
dc.language.iso | eng | - |
dc.publisher | Springer | - |
dc.relation | PEst-C/MAT/UI0324/2011 | - |
dc.rights | embargoedAccess | - |
dc.subject | Profinite group presentation | - |
dc.subject | Free profinite semigroup | - |
dc.subject | Subshift | - |
dc.subject | Prouhet-Thue-Morse substitution | - |
dc.title | Presentations of Schützenberger groups of minimal subshifts | - |
dc.type | article | - |
degois.publication.firstPage | 1 | - |
degois.publication.lastPage | 31 | - |
degois.publication.issue | 1 | - |
degois.publication.location | Coimbra | - |
degois.publication.title | Israel Journal of Mathematics | - |
dc.relation.publisherversion | https://doi.org/10.1007/s11856-012-0139-4 | - |
dc.peerreviewed | yes | - |
dc.identifier.doi | 10.1007/s11856-012-0139-4 | - |
dc.identifier.doi | 10.1007/s11856-012-0139-4 | - |
degois.publication.volume | 196 | - |
dc.date.embargo | 2018-10-12T14:55:41Z | - |
uc.controloAutoridade | Sim | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.openairetype | article | - |
item.cerifentitytype | Publications | - |
item.grantfulltext | open | - |
item.fulltext | Com Texto completo | - |
item.languageiso639-1 | en | - |
crisitem.author.dept | Faculty of Sciences and Technology | - |
crisitem.author.parentdept | University of Coimbra | - |
crisitem.author.researchunit | Center for Research in Neuropsychology and Cognitive Behavioral Intervention | - |
crisitem.author.researchunit | CMUC - Centre for Mathematics of the University of Coimbra | - |
crisitem.author.orcid | 0000-0002-6302-7564 | - |
crisitem.author.orcid | 0000-0001-5906-965X | - |
Appears in Collections: | I&D CMUC - Artigos em Revistas Internacionais |
Files in This Item:
File | Description | Size | Format | |
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Almeida-Costa_Presentations_of_Schutzenberger_groups_of_subshifts-v3.pdf | 306.5 kB | Adobe PDF | View/Open |
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