Construction of divisible designs from translation planes (Q1266356)

The authors continue the investigation of divisible designs constructed from finite translation planes. In earlier work such structures were considered using the desarguesian planes and the Lüneburg planes, being the only finite translation planes which have a doubly transitive collineation group on the line at infinity. In this paper, they use other finite translation planes (Hering planes, Ott-Schäffer planes, Kantor planes of type II, Dye-Kantor planes, Bartolone-Ostrom planes); the divisible designs obtained have \(\text{SL}(2,q)\) as automorphism group.