English

Notes on sets of first return

Combinatorics 2013-09-09 v2

Abstract

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.

Cite

@article{arxiv.1308.5618,
  title  = {Notes on sets of first return},
  author = {Valérie Berthé and Clelia De Felice and Francesco Dolce and Dominique Perrin and Christophe Reutenauer and Giuseppina Rindone},
  journal= {arXiv preprint arXiv:1308.5618},
  year   = {2013}
}
R2 v1 2026-06-22T01:15:06.819Z