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28 décembre 2015
- handle: 10670/1.5zus2y
- 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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http://archipel.uqam.ca/8353/
Ce document est lié à :
http://dx.doi.org/10.1017/etds.2015.74
Ce document est lié à :
doi:10.1017/etds.2015.74
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linear involutions free groupSujets proches
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VALÉRIE BERTHÉ et al., « Return words of linear involutions and fundamental groups », UQAM Archipel : articles scientifiques, ID : 10670/1.5zus2y
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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.