Document Type
Journal Article
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|).
RIS ID
22648
COinS