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On decomposing finite abelian groups

✍ Scribed by S. Szabó

Publisher: Akadmiai Kiad
Year: 1980
Tongue: English
Weight: 426 KB
Volume: 36
Category: Article
ISSN: 1588-2632
DOI: 10.1007/bf01897097

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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