Units

Discrete Mathematics

Projetcs

Homogeneity and ultrahomogeneity of designs

Classification of all t-designs having an automorphism group isomorphic to M11, M12, M22, M22:2, M23 or M24 (in t 3-, 4- or 5-transitive representations) and such that any two isomorphic substructures are always in the same orbit.

Classification of primitive designs

Classification of all t-designs on less than 16 points having a primitive automorphism group. Determination, using the software DISCRETA, of the full group of automorphisms of such designs.

Block-transitive and point-imprimitive designs

Study of the arithmetical parameters of t-designs having an automorphism group which is transitive on blocks and imprimitive on points.