Some values of Olson's constant (Q2709907)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some values of Olson's constant |
scientific article |
Statements
3 December 2001
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Olson's constant
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Abelian group
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0.8410054
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0.81620044
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0.8104806
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Some values of Olson's constant (English)
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Olson's constant of an Abelian group, denoted by Ol\((G)\), is the smallest integer \(k\) with the property that every \(k\)-element subset of \(G\) contains a nontrivial zero subsum. It is shown here that Ol\((\mathbb{Z}_2^n)=n+1\) and Ol\((\mathbb{Z}_3^n)=2n+1\) for \(n\geq 3\). The value of Olson's constant is listed for all groups of order \(\leq 55\).
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