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A combinatorial condition on a certain variety of groups

✍ Scribed by B. Taeri

Publisher: Springer
Year: 2001
Tongue: English
Weight: 82 KB
Volume: 77
Category: Article
ISSN: 0003-889X
DOI: 10.1007/pl00000517

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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