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-designs admitting a flag-transitive automorphism group with socle
Hongxue Liang, Mario Galici, Zhihui Liu +3
-designs admitting a flag-transitive automorphism group with socle , where , are investigated in both the point-primitive and point-imprimitive case…
-additive Steiner 2-designs
Marco Buratti, Mario Galici, Alessandro Montinaro +2
A design is -additive with an abelian group, if its points are in and each block is zero-sum in . All the few known ``manageable" additive Steiner 2-designs are $\mat…
On the number of small Steiner triple systems with Veblen points
Mario Galici, Giuseppe Filippone
The concept of Schreier extensions of loops was introduced in the general case in [11] and, more recently, it has been explored in the context of Steiner loops in [6]. In the latte…
Extensions of Steiner Triple Systems
Giovanni Falcone, Agota Figula, Mario Galici
In this article we study extensions of Steiner triple systems by means of the associated Steiner loops. We recognize that the set of Veblen points of a Steiner triple system corres…