An upper bound for the Davenport constant of finite groups

Weidong Gao,Yuanlin Li,Jiangtao Peng

doi:10.1016/j.jpaa.2014.02.009

An upper bound for the Davenport constant of finite groups

Weidong Gao, Yuanlin Li + Show 1 more

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https://doi.org/10.1016/j.jpaa.2014.02.009

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Journal: Journal of Pure and Applied Algebra	Publication Date: Feb 18, 2014
Citations: 11

Affiliation: Nankai University, Brock University, Civil Aviation University of China

#Maximal Integer #Finite Group + Show 4 more

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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)⩽|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 containing no nonempty one-product subsequence.

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