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Upper Bounds for the Davenport Constant

Research paper by R. Balasubramanian, Gautami Bhowmik

Indexed on: 28 Feb '06Published on: 28 Feb '06Published in: Mathematics - Number Theory



Abstract

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.