6 papers
-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…
The Flag-Transitive and Point-Imprimitive Symmetric Designs with
Mario Galici, Alessandro Montinaro
A complete classification of the flag-transitive point-imprimitive symmetric - designs with is provided. Apart from the known examples with , the co…
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…
An extension formula for right Bol loops arising from Bol reflections
Mario Galici, Gabor P. Nagy
We study a new extension formula for right Bol loops. We prove the necessary or sufficient conditions for the extension to be right Bol. We describe the most important invariants:…