On the structure of long unsplittable minimal zero-sum sequences

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2016 English Publisher:Institute of Mathematics, Polish Academy of SciencesJournal:Acta Arithmetica (issn: 0065-1036, eissn: 1730-6264,

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Authors: Zeng, Xiangneng; Yuan, Pingzhi; Li, Yuanlin;

doi: 10.4064/aa8228-5-2016

On the structure of long unsplittable minimal zero-sum sequences

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Abstract

Summary: Let \(G\) be an abelian group of odd order \(n\geq 9\). We determine the structure of unsplittable minimal zero-sum sequences over \(G\) of length greater than or equal to \(\lfloor n/3\rfloor+3\).

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Keywords

Additive bases, including sumsets, index of sequences, unsplittable sequences, Sequences (mod \(m\)), minimal zero-sum sequences

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