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A Combinatorial Problem on Finite Abelian Groups

✍ Scribed by W.D. Gao

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
186 KB
Volume
58
Category
Article
ISSN
0022-314X

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✦ Synopsis

In this paper the following theorem is proved. Let G be a finite Abelian group of order n. Then, n+D(G )&1 is the least integer m with the property that for any sequence of m elements a 1 , ..., a m in G, 0 can be written in the form 0= a 1 + } } } +a in with 1 i 1 < } } } <i n m, where D(G) is the Davenport's constant on G, i.e., the least integer d with the property that for any sequence of d elements in G, there exists a nonempty subsequence that the sum of whose elements is 0.

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