Convention: all base schemes will be in characteristic p. Writing k or we will assume k = k F p , respectively = F p. We will write X ! S for a p-divisible group over a base S (and sometimes will say \a family of p-divisible groups"), while we tend to write X when we consider a p-divisible group over a base eld (but we are not strict in this convention). Instead of \p-divisible group" one can a...

We consider Class-Uniformly Resolvable Group Divisible Designs (CURGDD), which are resolvable group divisible designs in which each of the resolution classes has the same number of blocks of each size. We derive the fully general necessary conditions including a number of extremal bounds. We present some general constructions including a novel construction for shrinking the index of a master de...

Group divisible designs are the most important class of partially balanced incomplete block (PBIB) designs. A list of new group divisible designs with r, k ⩽ 10 is provided.