An upper bound for Davenport constant of finite groups

2013/08/11 by Gao, Weidong, Li, Yuanlin, Peng, Jiangtao
#11B75 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1308.2364

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)≤ (|G|)/(p)+9p²-10p, where d(G) denotes the small Davenport constant of G which is defined as the maximal integer ℓ such that there is a sequence over G of length ℓ contains no nonempty one-product subsequence.

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