28 décembre 2015
Ce document est lié à :
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
VALÉRIE BERTHÉ et al., « Return words of linear involutions and fundamental groups », UQAM Archipel : articles scientifiques, ID : 10670/1.5zus2y
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.