# 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}
}```
• Published 24 January 2008
• Mathematics
• Acta Arithmetica
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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