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arxiv: math/0601374 · v3 · submitted 2006-01-16 · 🧮 math.NT

Upper Bounds for the Davenport Constant

classification 🧮 math.NT
keywords constantdavenportgroupsorderabelianalon-dubineratmostbound
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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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