Back to Search
Start Over
Generalized Bhaskar Rao Designs with Block Size 3 over Finite Abelian Groups.
- Source :
-
Graphs & Combinatorics . Sep2007, Vol. 23 Issue 3, p271-290. 20p. 2 Charts. - Publication Year :
- 2007
-
Abstract
- We show that if G is a finite Abelian group and the block size is 3, then the necessary conditions for the existence of a ( v,3,λ; G) GBRD are sufficient. These necessary conditions include the usual necessary conditions for the existence of the associated ( v,3,λ) BIBD plus λ≡ 0 (mod| G|), plus some extra conditions when | G| is even, namely that the number of blocks be divisible by 4 and, if v = 3 and the Sylow 2-subgroup of G is cyclic, then also λ≡ 0 (mod2| G|). [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 09110119
- Volume :
- 23
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Graphs & Combinatorics
- Publication Type :
- Academic Journal
- Accession number :
- 25621062
- Full Text :
- https://doi.org/10.1007/s00373-007-0728-x