FUSION SCHEMES AND PARTIALLY BALANCED INCOMPLETE BLOCK-DESIGNS

The notion of fusion in association schemes is developed and then applied to group schemes. It is shown that the association schemes derived in [1] and [4] are special cases of A-fused schemes of group schemes X (G), where G is abelian and A is a group of automorphisms of G. It is then shown that these latter schemes give rise to PBIB designs under constructions identical to those found in [1] and [4].