Geodesic
Su alcune recenti generalizzazioni del teorema di Shirshov
Séminaire lotharingien de combinatoire, Tome 22 (1989) 
Giuseppe Pirillo. Su alcune recenti generalizzazioni del teorema di Shirshov. Séminaire lotharingien de combinatoire, Tome 22 (1989). http://geodesic.mathdoc.fr/item/SLC_1989_22_a12/
@article{SLC_1989_22_a12,
     author = {Giuseppe Pirillo},
     title = {Su alcune recenti generalizzazioni del teorema di {Shirshov}},
     journal = {S\'eminaire lotharingien de combinatoire},
     year = {1989},
     volume = {22},
     url = {http://geodesic.mathdoc.fr/item/SLC_1989_22_a12/}
}
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Voir la notice de l'acte provenant de la source Séminaire Lotharingien de Combinatoire website

A well-known theorem of Shirshov says that every sufficiently long word in a finite alphabet contains either a factor which is 'n-divided' or a factor which is a pth power.

Using the properties of Lyndon words, Reutenauer presented a very elegant proof of this theorem, which, by analogous techniques, Varricchio extended to words that are infinite on the right.

The aim of this work is to give a brief outline of an extension of the theorem of Shirshov to bi-infinite words.