Return words of linear involutions and fundamental groups

BERTHÉ, VALÉRIE; DELECROIX, VINCENT; DOLCE, FRANCESCO; PERRIN, DOMINIQUE; REUTENAUER, CHRISTOPHE et RINDONE, GIUSEPPINA (2015). « Return words of linear involutions and fundamental groups ». Ergodic Theory and Dynamical Systems, pp. 1-23.

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Résumé

We investigate the natural codings of linear involutions. We deduce from the geometric representation of linear involutions as Poincaré maps of measured foliations a suitable definition of return words which yields that the set of first return words to a given word is a symmetric basis of the free group on the underlying alphabet A. The set of first return words with respect to a subgroup of finite index G of the free group on A is also proved to be a symmetric basis of G.

Type: Article de revue scientifique
Mots-clés ou Sujets: linear involutions, free group
Unité d'appartenance: Faculté des sciences > Département de mathématiques
Déposé par: Christophe Reutenauer
Date de dépôt: 28 avr. 2016 18:29
Dernière modification: 19 mai 2016 18:17
Adresse URL : http://www.archipel.uqam.ca/id/eprint/8353

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