Document Type
Journal Article
RIS ID
22648
Citation
Ge, Gennian; Greig, Malcolm; Seberry, Jennifer R.; and Seberry, Ralph, 2007, Generalized bhaskar rao designs with block size 3 over finite abelian groups, Graphs and Combinatorics, 23(3), 271-290.
http://ro.uow.edu.au/era/1405
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 (mod 2|G|).
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