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Avgustinovich, Sergey; Karhumäki, Juhani; Puzynina, Svetlana

On abelian versions of critical factorization theorem. (English) Zbl 1247.68200

RAIRO, Theor. Inform. Appl. 46, No. 1, 3-15 (2012).
Summary: 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.

Cited in 1 Review
Cited in 7 Documents

MSC:

68R15 Combinatorics on words

Keywords:

combinatorics on words; periodicity; central factorization theorem; abelian properties of words
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\textit{S. Avgustinovich} et al., RAIRO, Theor. Inform. Appl. 46, No. 1, 3--15 (2012; Zbl 1247.68200)
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References:

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