Abelian Primitive Words

  • Michael Domaratzki
  • Narad Rampersad
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6795)


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.


Formal Language Linear Time Algorithm Primitive Root Formal Language Theory Lyndon Word 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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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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