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abelian properties of words.

RAIRO - Theoretical Informatics and Applications (1)

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On abelian versions of critical factorization theorem ∗
Sergey Avgustinovich, Juhani Karhumäki, Svetlana Puzynina
Journal:

RAIRO - Theoretical Informatics and Applications / Volume 46 / Issue 1 / January 2012

Published online by Cambridge University Press:

22 September 2011, pp. 3-15

Print publication:

January 2012
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In the paper we study abelian versions of the critical factorization theorem. We investigate both similarities and differences between the abelian powers and the usual powers. The results we obtained show that the constraints for abelian powers implying periodicity should be quite strong, but still natural analogies exist.