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On Sub-Groups of a Finite Abelian Group

✍ Scribed by Hilton, H.

Book ID: 120104728
Publisher: Oxford University Press
Year: 1907
Tongue: English
Weight: 140 KB
Volume: s2-5
Category: Article
ISSN: 0024-6115
DOI: 10.1112/plms/s2-5.1.1

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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