English

Etude des morphismes pr{\'e}servant les mots primitifs

Formal Languages and Automata Theory 2026-01-28 v1

Abstract

This article provides a reminder of some properties of primitive words and the morphisms that preserve them. Their proofs, which I have more or less revised, are included. This makes the article almost self-contained. I also contribute by giving some properties of primitive words, but especially by showing that a morphism without powers k(\ge 5) is primitive and that a uniform morphism without powers k(\ge 2) is primitive.

Cite

@article{arxiv.2601.19271,
  title  = {Etude des morphismes pr{\'e}servant les mots primitifs},
  author = {Francis Wlazinski},
  journal= {arXiv preprint arXiv:2601.19271},
  year   = {2026}
}

Comments

in French language

R2 v1 2026-07-01T09:21:45.784Z