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arxiv: 1505.00707 · v2 · pith:X44IABWXnew · submitted 2015-05-04 · 💻 cs.DM

Specular sets

Val\'erie Berth\'e , Clelia De Felice , Vincent Delecroix , Francesco Dolce , Julien Leroy , Dominique Perrin , Christophe Reutenauer , Giuseppina Rindone This is my paper
classification 💻 cs.DM
keywords setsspeculargeneralizationgroupsnaturalabstractbifixcalled
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We introduce the notion of specular sets which are subsets of groups called here specular and which form a natural generalization of free groups. These sets are an abstract generalization of the natural codings 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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