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arXiv · 1806.07636

Direct zero-sum problems for certain groups of rank three

Benjamin Girard·Wolfgang Schmid
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Abstract

We determine the exact value of the $η$-constant and the multiwise Davenport constants for finite abelian groups of rank three having the form $G \simeq C_2 \oplus C_{n_2} \oplus C_{n_3}$ with $2 \mid n_2 \mid n_3$. Moreover, we determine the Erdős-Ginzburg-Ziv constant of these groups under the assumption that $n_2/2$ has Property D or $n_2 = n_3$.

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Benjamin Girard, Wolfgang Schmid. 2019-07-26. Direct zero-sum problems for certain groups of rank three. https://doi.org/10.1016/j.jnt.2018.08.016

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