# A Combinatorial Problem on Finite Abelian Groups

@article{Gao1996ACP, title={A Combinatorial Problem on Finite Abelian Groups}, author={Weidong Gao}, journal={Journal of Number Theory}, year={1996}, volume={58}, pages={100-103} }

Abstract In this paper the following theorem is proved. Let G be a finite Abelian group of order n . Then, n + D ( G )−1 is the least integer m with the property that for any sequence of m elements a 1 , …, a m in G , 0 can be written in the form 0= a 1 +…+ a i n with 1⩽ i 1 i n ⩽ m , where D ( G ) is the Davenport's constant on G , i.e., the least integer d with the property that for any sequence of d elements in G , there exists a nonempty subsequence that the sum of whose elements is 0.

## 240 Citations

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