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https://hdl.handle.net/10316/11160
Title: | Profinite groups associated to sofic shifts are free | Authors: | Costa, Alfredo Steinberg, Benjamin |
Keywords: | Free profinite semigroups; Free profinite groups; Sofic shifts; Symbolic dynamics | Issue Date: | 2009 | Publisher: | Centro de Matemática da Universidade de Coimbra | Citation: | Pré-Publicações DMUC. 09-28 (2009) | 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. | URI: | https://hdl.handle.net/10316/11160 | Rights: | openAccess |
Appears in Collections: | FCTUC Matemática - Vários |
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Profinite groups associated to sofic shifts are free.pdf | 342.84 kB | Adobe PDF | View/Open |
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