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- W2022308311 abstract "Let G be a finite abelian group. By Ol ( G ), we mean the smallest integer t such that every subset A ⊂ G of cardinality t contains a non-empty subset whose sum is zero. In this article, we shall prove that for all primes p >4.67×10 34 , we have Ol( Z p ⊕ Z p )=p+Ol( Z p )−1 and hence we have Ol( Z p ⊕ Z p )⩽p−1+⌈ 2p +5 log p⌉ . This, in particular, proves that a conjecture of Erdős (stated below) is true for the group Z p ⊕ Z p for all primes p >4.67×10 34 ." @default.
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- W2022308311 date "2004-07-01" @default.
- W2022308311 modified "2023-09-29" @default.
- W2022308311 title "Olson's constant for the group Zp⊕Zp" @default.
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- W2022308311 doi "https://doi.org/10.1016/j.jcta.2004.03.007" @default.
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