Specular Sets

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.
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Submitted on : Monday, September 19, 2016 - 5:26:01 PM
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Valérie Berthé, Clelia de Felice, Vincent Delecroix, Francesco Dolce, Julien Leroy, et al.. Specular Sets. Combinatorics on Words, 2015, ⟨10.1007/978-3-319-23660-5_18⟩. ⟨hal-01367700⟩

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