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On abelian versions of critical factorization theorem∗

Published online by Cambridge University Press:  22 September 2011

Sergey Avgustinovich ,
Juhani Karhumäki  and
Svetlana Puzynina
Sergey Avgustinovich
Affiliation:
Sobolev Institute of Mathematics, 630090 Novosibirsk, Russia. avgust@math.nsc.ru
Juhani Karhumäki
Affiliation:
University of Turku, Department of Mathematics, 20014 Turku, Finland; svepuz@utu.fi Turku Centre for Computer Science, 20014 Turku, Finland; karhumak@utu.fi
Svetlana Puzynina
Affiliation:
Sobolev Institute of Mathematics, 630090 Novosibirsk, Russia. avgust@math.nsc.ru University of Turku, Department of Mathematics, 20014 Turku, Finland; svepuz@utu.fi Turku Centre for Computer Science, 20014 Turku, Finland; karhumak@utu.fi
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Abstract

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.

Keywords

Combinatorics on wordsperiodicitycentral factorization theoremabelian properties of words.

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References

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