# Inverse zero-sum problems III

@article{Gao2008InverseZP, title={Inverse zero-sum problems III}, author={Weidong Gao and Alfred Geroldinger and David J. Grynkiewicz}, journal={Acta Arithmetica}, year={2008}, volume={141}, pages={103-152} }

Let G be a nite abelian group. The Davenport constant D(G) is the smallest integer ` 2 N such that every sequence S over G of length jSj ` has a nontrivial zero-sum subsequence. Let G = Cn Cn with n 2. Then D(G) = 2n 1, and we say that G has Property B if every minimal zero-sum sequence S over G of length jSj = 2n 1 contains an element with multiplicity n 1. We show that, if m and n are odd and both Cm Cm and Cn Cn have Property B, then Cmn Cmn has Property B. Based on this and various recent…

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