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Abstract: We investigate Abelian primitive words, which are words that are not Abelianpowers. We show that unlike classical primitive words, the set of Abelianprimitive words is not context-free. We can determine whether a word is Abelianprimitive in linear time. Also different from classical primitive words, wefind that a word may have more than one Abelian root. We also considerenumeration problems and the relation to the theory of codes.



Author: Michael Domaratzki, Narad Rampersad

Source: https://arxiv.org/







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