2. q-analogs of group divisible designs
2. q-analogs of group divisible designs
A well-known class of objects in combinatorial design theory are group divisible designs. Here, we introduce the q-analogs of group divisible designs. It turns out that there are interesting connections to scattered subspaces, q-Steiner systems, packing designs and qr-divisible projective sets. We give necessary conditions for the existence of q-analogs …