# The structure of maximal zero-sum free sequences

@article{Bhowmik2008TheSO,
title={The structure of maximal zero-sum free sequences},
author={Gautami Bhowmik and Immanuel Halupczok and Jan-Christoph Schlage-Puchta},
journal={Acta Arithmetica},
year={2008},
volume={143},
pages={21-50}
}
• Published 28 November 2008
• 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…

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