Abstract : We introduce specular sets. These are subsets of groups which form a natural generalization of free groups. These sets are an abstract generalization of the natural codings of interval exchanges and of linear involutions. We prove several results concerning the subgroups generated by return words and by maximal bifix codes in these sets.
https://hal-upec-upem.archives-ouvertes.fr/hal-01367700 Contributor : Francesco DolceConnect in order to contact the contributor Submitted on : Monday, September 19, 2016 - 5:26:01 PM Last modification on : Saturday, June 25, 2022 - 10:36:45 AM
Valérie Berthé, Clelia de Felice, Vincent Delecroix, Francesco Dolce, Julien Leroy, et al.. Specular Sets. WORDS 2015, Sep 2015, Kiel, Germany. pp.210-222, ⟨10.1007/978-3-319-23660-5_18⟩. ⟨hal-01367700⟩