Notes on sets of first return

Christophe Reutenauer; Clelia De Felice; Dominique Perrin; Francesco Dolce; Giuseppina Rindone; Val\'erie Berth\'e

arxiv: 1308.5618 · v2 · pith:45F7QKOFnew · submitted 2013-08-26 · 🧮 math.CO

Notes on sets of first return

Val\'erie Berth\'e , Clelia De Felice , Francesco Dolce , Dominique Perrin , Christophe Reutenauer , Giuseppina Rindone This is my paper

classification 🧮 math.CO

keywords firstreturnalphabetbasisconditionfreegivengroup

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We prove in this note that, for an alphabet with three letters, the set of first return to a given word in a set satisfying the tree condition is a basis of the free group.

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Notes on sets of first return

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