Abstract : We give a simplified presentation of groups in transformation monoids. We use this presentation to describe two recent results on syntactic groups of prefix codes. The first one uses Sturmian words to build finite bifix codes with a given permutation group as syntactic group. The second one describes a class of prefix codes such that all their syntactic groups are cyclic.
https://hal-upec-upem.archives-ouvertes.fr/hal-00790638
Contributor : Dominique Perrin <>
Submitted on : Wednesday, February 20, 2013 - 4:27:52 PM Last modification on : Monday, October 19, 2020 - 8:02:03 PM Long-term archiving on: : Tuesday, May 21, 2013 - 9:27:27 AM
Jean Berstel, Clelia de Felice, Dominique Perrin, Christophe Reutenauer, Giuseppina Rindone. Recent results on syntactic groups of prefix codes. European Journal of Combinatorics, Elsevier, 2012, 33 (7), pp.1386-1401. ⟨hal-00790638⟩