Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/11160
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Costa, Alfredo | - |
dc.contributor.author | Steinberg, Benjamin | - |
dc.date.accessioned | 2009-08-26T12:52:06Z | - |
dc.date.available | 2009-08-26T12:52:06Z | - |
dc.date.issued | 2009 | - |
dc.identifier.citation | Pré-Publicações DMUC. 09-28 (2009) | en_US |
dc.identifier.uri | https://hdl.handle.net/10316/11160 | - |
dc.description.abstract | We show that the maximal subgroup of the free profinite semigroup associated by Almeida to an irreducible sofic shift is a free profinite group, generalizing an earlier result of the second author for the case of the full shift (whose corresponding maximal subgroup is the maximal subgroup of the minimal ideal). A corresponding result is proved for certain relatively free profinite semigroups. We also establish some other analogies between the kernel of the free profinite semigroup and the J-class associated to an irreducible sofic shift. | en_US |
dc.description.sponsorship | Research programme AutoMathA of ESF; FCT project PTDC/MAT/65481/2006 and FCT post-doctoral grant SFRH/BPD/46415/2008; NSERC; DFG | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Centro de Matemática da Universidade de Coimbra | en_US |
dc.rights | openAccess | eng |
dc.subject | Free profinite semigroups | en_US |
dc.subject | Free profinite groups | en_US |
dc.subject | Sofic shifts | en_US |
dc.subject | Symbolic dynamics | en_US |
dc.title | Profinite groups associated to sofic shifts are free | en_US |
dc.type | preprint | en_US |
uc.controloAutoridade | Sim | - |
item.fulltext | Com Texto completo | - |
item.grantfulltext | open | - |
item.languageiso639-1 | en | - |
item.cerifentitytype | Publications | - |
item.openairetype | preprint | - |
item.openairecristype | http://purl.org/coar/resource_type/c_816b | - |
crisitem.author.dept | Faculty of Sciences and Technology | - |
crisitem.author.parentdept | University of Coimbra | - |
crisitem.author.researchunit | CMUC - Centre for Mathematics of the University of Coimbra | - |
crisitem.author.orcid | 0000-0001-5906-965X | - |
Appears in Collections: | FCTUC Matemática - Vários |
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File | Description | Size | Format | |
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Profinite groups associated to sofic shifts are free.pdf | 342.84 kB | Adobe PDF | View/Open |
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