The structure of maximal zero-sum free sequences

@article{Bhowmik2010TheSO,
  title={The structure of maximal zero-sum free sequences},
  author={G. Bhowmik and Immanuel Halupczok and J. Schlage-Puchta},
  journal={Acta Arithmetica},
  year={2010},
  volume={143},
  pages={21-50}
}
  • G. Bhowmik, Immanuel Halupczok, J. Schlage-Puchta
  • Published 2010
  • Mathematics
  • Acta Arithmetica
  • Let n be an integer, and consider finite sequences of elements of the group Z/nZ x Z/nZ. Such a sequence is called zero-sum free, if no subsequence has sum zero. It is known that the maximal length of such a zero-sum free sequence is 2n-2, and Gao and Geroldinger conjectured that every zero-sum free sequence of this length contains an element with multiplicity at least n-2. By recent results of Gao, Geroldinger and Grynkiewicz, it essentially suffices to verify the conjecture for n prime. Now… CONTINUE READING

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