On syntactic groups

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چکیده

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On syntactic groups

We prove that for any finite prefix code X with n elements, the non special subgroups in the syntactic monoid of X have degree at most n − 1. This implies in particular that the groups in the syntactic monoid of X are all cyclic when X is a prefix code with three elements.

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ژورنال

عنوان ژورنال: Bulletin of the Belgian Mathematical Society - Simon Stevin

سال: 2003

ISSN: 1370-1444

DOI: 10.36045/bbms/1074791330