On the group of a rational maximal bifix code (Preprint)

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Type: Preprint
National /International: International
Title: On the group of a rational maximal bifix code
Publication Date: 2018-11-07
Authors: - Jorge Almeida
- Alfredo Costa
- Revekka Kyriakoglou
- Dominique Perrin
Abstract: We give necessary and sufficient conditions for the group of a rational maximal bifix code Z to be isomorphic with the F-group of Z ∩ F, when F is recurrent and Z ∩ F is rational. The case where F is uniformly recurrent, which is known to imply the finiteness of Z ∩ F, receives special attention. The proofs are done by exploring the connections with the structure of the free profinite monoid over the alphabet of F.
Institution: DMUC 18-45
Online version: http://www.mat.uc.pt...prints/eng_2018.html
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