Divisible designs admitting GL\((3, q)\) as an automorphism group
A. G. Spera introduced a method to construct group divisible designs from imprimitive permutation groups which are 2-\(R\)-homogeneous (2-\(R\)-transitive), where \(R\) is an equivalence relation. In a previous paper, the authors describe a method to construct 2-\(R\)-transitive \(R\)-permutation groups from a three-dimensional projective space. In this paper, they use that method to construct group divisible designs admitting \(\text{GL}(3,q)\) as an automorphism group.
scientific article; zbMATH DE number 1546678