Abelian Primitive Words

  • Michael Domaratzki
  • Narad Rampersad
Conference paper

DOI: 10.1007/978-3-642-22321-1_18

Part of the Lecture Notes in Computer Science book series (LNCS, volume 6795)
Cite this paper as:
Domaratzki M., Rampersad N. (2011) Abelian Primitive Words. In: Mauri G., Leporati A. (eds) Developments in Language Theory. DLT 2011. Lecture Notes in Computer Science, vol 6795. Springer, Berlin, Heidelberg


We investigate Abelian primitive words, which are words that are not Abelian powers. We show the set of Abelian primitive words is not context-free. We can determine whether a word is Abelian primitive in linear time. Also different from classical primitive words, we find that a word may have more than one Abelian root. We also consider enumeration of Abelian primitive words.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Michael Domaratzki
    • 1
  • Narad Rampersad
    • 2
  1. 1.Department of Computer ScienceUniversity of ManitobaWinnipegCanada
  2. 2.Department of MathematicsUniversity of LiègeLiègeBelgium

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