A uniform cube-free morphism is $k$-power-free for all integers $k \geq 4$

Francis Wlazinski (1)

1 LAMFA - Laboratoire Amiénois de Mathématique Fondamentale et Appliquée - UMR CNRS 7352

The fact that the image of a word by a morphism contains a cube implies some relations. Under some assumptions, we show that these relations lead to more precise results. This allows us to establish that a cube-free uniform morphism is a k-power-free morphism for all integers k ≥ 4.

Domaines: Théorie et langage formel [cs.FL]

Francis Wlazinski. A uniform cube-free morphism is $k$-power-free for all integers $k \geq 4$. 2016. ⟨hal-01417750⟩