Please use this identifier to cite or link to this item: http://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: http://hdl.handle.net/10316/11160
Rights: openAccess
Appears in Collections:FCTUC Matemática - Vários

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