Upper Bounds for the Davenport Constant

Mathematics – Number Theory

Scientific paper

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article soumis, decembre 2005

Scientific paper

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.

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