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On the group of a rational maximal bifix code

Title
On the group of a rational maximal bifix code
Type
Article in International Scientific Journal
Year
2020
Authors
Almeida, J
(Author)
FCUP
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Alfredo Costa
(Author)
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Dominique Perrin
(Author)
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Revekka Kyriakoglou
(Author)
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Journal
Title: Forum MathematicumImported from Authenticus Search for Journal Publications
Vol. 32 No. 3
Pages: 553-576
ISSN: 0933-7741
Publisher: Walter De Gruyter
Other information
Authenticus ID: P-00R-MD1
Abstract (EN): 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 boolean AND F, when F is recurrent and Z boolean AND F is rational. The case where F is uniformly recurrent, which is known to imply the finiteness of Z boolean AND 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.
Language: English
Type (Professor's evaluation): Scientific
No. of pages: 24
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