Guo-Qing Wang

Disproof of a Conjectured Upper Bound for the Davenport Constant

Let $G\cong C_{n_1}\oplus\cdots\oplus C_{n_r}$ be a finite abelian group with $1<n_1\mid\cdots\mid n_r$, and let $r(G)=r$ denote its rank. The Davenport constant $\mathsf D(G)$ is the least integer $\ell$ such that every sequence of $\ell$ elements of $G$ contains a nonempty zero-sum subsequence, and $\mathsf D^*(G)=1+...