Alessandro Montinaro

activity

20242026

collaborators

12 papers

math.CO2026

$2$ -designs admitting a flag-transitive automorphism group with socle $P S L (2, q)$

Hongxue Liang, Mario Galici, Zhihui Liu +3

$2$ -designs admitting a flag-transitive automorphism group $G$ with socle $P S L (2, q)$ , where $q = p^{f} \geq 4$ , are investigated in both the point-primitive and point-imprimitive case…

math.CO2025

2-(v,k,3) designs admitting an almost simple, flag-transitive automorphism group with socle PSL(2,q)

Hongxue Liang, Zhihui Liu, Alessandro Montinaro

In this paper, we completely classify the non-trivial 2-(v,k,3) designs admitting an almost simple, flag-transitive automorphism group with socle PSL(2,q).

math.CO2025

$EA (q)$ -additive Steiner 2-designs

Marco Buratti, Mario Galici, Alessandro Montinaro +2

A design is $G$ -additive with $G$ an abelian group, if its points are in $G$ and each block is zero-sum in $G$ . All the few known ``manageable" additive Steiner 2-designs are $\mat…

math.GR2025

The Flag-Transitive and Point-Imprimitive Symmetric $(v, k, I^»)$ Designs with $v < 100$

Mario Galici, Alessandro Montinaro

A complete classification of the flag-transitive point-imprimitive symmetric $2$ - $(v, k, I^»)$ designs with $v < 100$ is provided. Apart from the known examples with $I^» \leq 10$ , the co…

math.CO2025

On a class of quasi-Hermitian surfaces in even characteristic

Angela Aguglia, Alessandro Montinaro

In [1], a new quasi-Hermitian variety $H_{ε}^{r}$ in $PG (r, q^{2})$ , with $q = 2^{e}$ and $e \geq 3$ an odd integer, was constructed. The variety depends on a…

math.GR2025

On flag-transitive automorphism groups of $2$ -designs with $I^»$ prime

Seyed Hassan Alavi, Ashraf Daneshkhah, Alessandro Montinaro

In this article, we study $2$ - $(v, k, I^»)$ designs $D$ with $I^»$ prime admitting flag-transitive and point-primitive almost simple automorphism groups $G$ with socle $T$ a…

2-designs admitting a flag-transitive automorphism group with socle PSL(2,q)

2-(v,k,3) designs admitting an almost simple, flag-transitive automorphism group with socle PSL(2,q)

EA(q)-additive Steiner 2-designs

The Flag-Transitive and Point-Imprimitive Symmetric (v,k,I^») Designs with v<100

On a class of quasi-Hermitian surfaces in even characteristic

On flag-transitive automorphism groups of 2-designs with I^» prime

$2$ -designs admitting a flag-transitive automorphism group with socle $P S L (2, q)$

$EA (q)$ -additive Steiner 2-designs

The Flag-Transitive and Point-Imprimitive Symmetric $(v, k, I^»)$ Designs with $v < 100$

On flag-transitive automorphism groups of $2$ -designs with $I^»$ prime