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

Abstract : 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.
Document type :
Preprints, Working Papers, ...

https://hal.archives-ouvertes.fr/hal-01417750
Contributor : Francis Wlazinski <>
Submitted on : Thursday, December 15, 2016 - 9:18:36 PM
Last modification on : Thursday, January 11, 2018 - 6:25:20 AM

### File

main.pdf
Files produced by the author(s)

### Identifiers

• HAL Id : hal-01417750, version 1

### Citation

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

Record views