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Intersections of Group Divisible Triple Systems

R.A.R. Butler1, D.G. Hoffman1
1 Division of Mathematics Auburn University Auburn, Alabama 36849-5307 U.S.A.

Abstract

We determine those triples (g,u,k) for which there exists a pair of group divisible designs with block size 3, each on the same u groups of size g, having exactly k blocks in common.