Recently, Draper initiated the study of interconnection networks based on Cayley graphs of semidirect products of two cyclic groups called supertoroids. Interest in this class of graphs stems from their relatively smaller diameter compared to toroids of the same size. The Borel graphs introduced by
✦ LIBER ✦
A Gaschütz–Lubeseder Type Theorem in a Class of Locally Finite Groups
✍ Scribed by A. Ballester-Bolinches; S. Camp-Mora
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 83 KB
- Volume
- 221
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
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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 ʦ A, then a nontrivial vanishing sum of the form s 1 g 1 ϩ и и и ϩ s k g k ,