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A generalization of Baer's splitting problem on abelian groups

โœ Scribed by L. Fuchs


Publisher
Springer
Year
1989
Tongue
English
Weight
543 KB
Volume
64
Category
Article
ISSN
0025-2611

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A Combinatorial Problem on Finite Abelia
โœ W.D. Gao ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 186 KB

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