Upper Bounds for The

We prove that for all but a certain number of abelian groups of order n the Davenport constant is atmost n k + k − 1 for positive integers k ≤ 7. For groups of rank three we improve on the existing bound involving the Alon-Dubiner constant. I. Introduction Let G be an abelian group of order n. A sequence of elements (not necessarily distinct) of G is called… CONTINUE READING