Author/Authors :
Jean Berstel and Luc Boasson ، نويسنده , , Jean and De Felice، نويسنده , , Clelia and Perrin، نويسنده , , Dominique and Reutenauer، نويسنده , , Christophe and Rindone، نويسنده , , Giuseppina، نويسنده ,
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.