An upper bound for Davenport constant of finite groups

Weidong Gao, Yuanlin Li, Jiangtao Peng

Let $G$ be a finite (not necessarily abelian) group and let $p=p(G)$ be the smallest prime number dividing $|G|$. We prove that $d(G)\le \frac{|G|}{p}+9p^2-10p$, where $d(G)$ deno…