An upper bound for the Davenport constant of finite groups

作者：Gao, Weidong^*; Li, Yuanlin; Peng, Jiangtao

来源：Journal of Pure and Applied Algebra, 2014, 218(10): 1838-1844.

DOI：10.1016/j.jpaa.2014.02.009

• INDEX

Let G be a finite (not necessarily abelian) group and let p = p(G) be the smallest prime number dividing vertical bar G vertical bar. We prove that d(G) <=vertical bar G vertical bar/p + 9p(2) 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.

• 出版日期2014-10
• 单位中国民航大学; 南开大学