Upper Bounds for the Davenport Constant

R. Balasubramanian (1) , Gautami Bhowmik (2)

1 IMSc - Institute of Mathematical Sciences [Chennai]
2 LPP - Laboratoire Paul Painlevé - UMR 8524

We prove that for all but a certain number of abelian groups of order n its Davenport constant is atmost n/k+k-1 for k=1,2,..,7. For groups of order three we improve on the existing bound involving the Alon-Dubiner constant.

Mots clés: Davenport Constant; zero sums; finite abelian groups.; finite abelian groups

Domaines: Théorie des nombres [math.NT]

R. Balasubramanian, Gautami Bhowmik. Upper Bounds for the Davenport Constant. 2006. ⟨hal-00016890v4⟩