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.Comment: article soumis, decembre 200

Balasubramanian, R.

Bhowmik, Gautami

English

arXiv

We prove that for all but a certain number of abelian groups of order n the Davenport constant is at most n + k − 1 for positive integers k ≤ 7. For groups of rank three we improve on the k existing bound involving the Alon-Dubiner constant. 1

Upper Bounds for the Davenport Constant

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