Sets in Abelian groups with distinct sum
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Harri HaanpÀÀ; Patric R.J. ΓstergΓ₯rd
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Article
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2007
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Elsevier Science
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English
β 141 KB
A subset S = {s 1 , . . . , s k } of an Abelian group G is called an S t -set of size k if all sums of t different elements in S are distinct. Let s(G) denote the cardinality of the largest S 2 -set in G. Let v(k) denote the order of the smallest Abelian group for which s(G) k. In this article, boun