Recently the following theorem in combinatorial group theory has been proved: Let G be a finite abelian group and let A be a sequence of members of G such that |A| |G| +D(G)&1, where D(G) is the Davenport constant of G. Then A contains a subsequence B such that |B|= |G| and b # B b=0. We shall prese
Note on a Zero-Sum Problem
โ Scribed by W. Gao
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 80 KB
- Volume
- 95
- Category
- Article
- ISSN
- 0097-3165
No coin nor oath required. For personal study only.
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In this paper we consider the following open problems: Conjecture 0.1. Let S be a sequence of 3n&3 elements in C n ร C n . If S contains no nonempty zero-sum subsequence of length not exceeding n, then S consists of three distinct elements, each appearing n&1 times. Conjecture 0.2. Let S be a seque
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