Short zero-sum sequences over abelian p-groups of large exponent
نویسندگان
چکیده
منابع مشابه
On short zero-sum subsequences over p-groups
Let G be a finite abelian group with exponent n. Let s(G) denote the smallest integer l such that every sequence over G of length at least l has a zero-sum subsequence of length n. For p-groups whose exponent is odd and sufficiently large (relative to Davenport’s constant of the group) we obtain an improved upper bound on s(G), which allows to determine s(G) precisely in special cases. Our resu...
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For a finite abelian group G and a positive integer k, let sk(G) denote the smallest integer l ∈ N such that any sequence S of elements of G of length |S| ≥ l has a zerosum subsequence with length k. The celebrated Erdős-Ginzburg-Ziv theorem determines sn(Cn) = 2n−1 for cyclic groups Cn, while Reiher showed in 2007 that sn(C 2 n) = 4n−3. In this paper we prove for a p-group G with exponent exp(...
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ژورنال
عنوان ژورنال: Journal of Number Theory
سال: 2017
ISSN: 0022-314X
DOI: 10.1016/j.jnt.2017.01.021