An upper bound for Davenport constant of finite groups

Weidong Gao; Yuanlin Li; Jiangtao Peng

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arXiv · 1308.2364

An upper bound for Davenport constant of finite groups

Weidong Gao·Yuanlin Li·Jiangtao Peng

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Abstract

Let $G$ be a finite (not necessarily abelian) group and let $p=p(G)$ be the smallest prime number dividing $|G|$. We prove that $d(G)\leq \frac{|G|}{p}+9p^2-10p$, where $d(G)$ denotes the small Davenport constant of $G$ which is defined as the maximal integer $\ell$ such that there is a sequence over $G$ of length $\ell$ contains no nonempty one-product subsequence.

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Weidong Gao, Yuanlin Li, Jiangtao Peng. 2013-08-11. An upper bound for Davenport constant of finite groups. https://arxiv.org/abs/1308.2364

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