Generalizing a theorem by J. E. Olson determining the Davenport's constant of a finite abelian p-group A, we prove that if S 1 , . . . , S k are given sets of integers satisfying suitable conditions and if g 1 , . . . , g k Κ¦ A, then a nontrivial vanishing sum of the form s 1 g 1 Ο© ΠΈ ΠΈ ΠΈ Ο© s k g k ,
β¦ LIBER β¦
On a Question of G. Glauberman about a Replacement Theorem for Finite p-Groups
β Scribed by E.I Khukhro
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 101 KB
- Volume
- 241
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
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