activity
20242026
most citedOn the number of small Steiner triple systems with Veblen points

1 citations · 2 across the 5 of their papers we have counts for

collaborators

7 papers

math.OA2026

Molnár's Theorem for split -by-nilpotent algebras

Mario Galici, Gianmarco La Rosa, Manuel Mancini +1

Kubo-Ando means are a rich class of important binary operations on the set of positive elements of an operator algebra. The aim of this article is to understand the algebraic struc…

math.CO2026

-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…

math.CO2025

-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…

math.GR2025

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 comp…

math.CO2024★ 1 cited

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…

math.GR2024★ 1 cited

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:…

math.CO2024

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…