𝔖 Bobbio Scriptorium
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On the number of repetition-free words

✍ Scribed by R. M. Kolpakov

Book ID
111471143
Publisher
Pleiades Publishing
Year
2007
Tongue
English
Weight
593 KB
Volume
1
Category
Article
ISSN
1990-4789

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An Abelian square-free substitution on four letters is exhibited. We derive that. on a fourletter alphabet, the number of Abelian square-free words of each length grows exponentially. infinite Abelian square-free words are uncountable and the monoid of Abelian square-free endomorphisms is not finit