Alessandro Montinaro

activity

20222026

most citedOn quasi-Hermitian varieties in even characteristic and related orthogonal arrays

2 citations · 3 across the 17 of their papers we have counts for

collaborators

18 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 $(v, k, λ)$ Designs with $v < 100$

Mario Galici, Alessandro Montinaro

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

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 $λ$ prime

Seyed Hassan Alavi, Ashraf Daneshkhah, Alessandro Montinaro

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

math.CO2025

The Higman-M\lowercase{c}Laughlin Theorem for the flag-transitive $2$ -designs with $λ$ prime

Alessandro Montinaro

A famous result of Higman and McLaughlin \cite{HM} in 1961 asserts that any flag-transitive automorphism group $G$ of a $2$ -design $D$ with $λ = 1$ acts point-primitively o…

math.GR2024

Affine groups as flag-transitive and point-primitive automorphism groups of symmetric designs

Seyed Hassan Alavi, Mohsen Bayat, Ashraf Daneshkhah +1

In this article, we investigate symmetric designs admitting a flag-transitive and point-primitive affine automorphism group. We prove that if an automorphism group $G$ of a symmetr…

math.CO2024

Analysing 2- $(v, k, 2)$ designs admitting a flag-transitive almost simple automorphism group with socle $P S L (2, q)$ by means of conics and hyperovals of $P G (2, q)$

Alessandro Montinaro, Yanwei Zhao, Zhilin Zhang +1

The classification of the $2$ -designs with $λ = 2$ admitting a flag-transitive automorphism groups with socle $P S L (2, q)$ is completed by settling the two open cases in \cite{ABDT}. T…

math.CO2024

A Classification of the flag-transitive $2$ - $(v, 3, λ)$ designs with with $v \equiv 1, 3 (mod 6)$ and $v \equiv 6 (mod λ)$

Eliana Francot, Alessandro Montinaro

In this paper, we provide a complete classification of the $2$ - $(v, 3, λ)$ designs with $v \equiv 1, 3 (mod 6)$ and admitting a flag-transitive automorphism group…

math.CO2024★ 1 cited

A Classification of the flag-transitive $2$ - $(v, k, 2)$ designs

Hongxue Liang, Alessandro Montinaro

In this paper, we provide a complete classification of $2$ - $(v, k, 2)$ design admitting a flag-transitive automorphism group of affine type with the only exception of the semilinear…

math.CO2023★ 2 cited

On quasi-Hermitian varieties in even characteristic and related orthogonal arrays

Angela Aguglia, Luca Giuzzi, Alessandro Montinaro +1

In this paper we study the BM quasi-Hermitian varieties introduced in [A. Aguglia, A. Cossidente, G. Korchmàros, On quasi-Hermitian Varieties, J. Combin. Des. 20 (2012) 433-447.] i…

math.CO2022

Flag-transitive symmetric $2$ -designs]{The symmetric $2$ - $(v, k, λ)$ designs, with $k > λ (λ - 3) /2$ , admitting a flag-transitive, point imprimitive automorphism group are known

Alessandro Montinaro

The symmetric $2$ - $(v, k, λ)$ designs, with $k > λ (λ - 3) /2$ , admitting a flag-transitive, point-imprimitive automorphism group are completely classified: they are the known…

math.CO2022

Classification of the non-trivial $2$ - $(k^{2}, k, λ)$ designs, with $λ ∣ k$ , admitting a flag-transitive automorphism group of affine type

Alessandro Montinaro

The pairs $(D, G)$ , where $D$ is a non-trivial $2$ - $(k^{2}, k, λ)$ design, with $λ ∣ k$ , and $G$ is a flag-transitive automorphism group of $D$ of affi…

math.GR2022

Block designs with $g cd (r, λ) = 1$ admitting flag-transitive automorphism groups

Seyed Hassan Alavi, Mohsen Bayat, Mauro Biliotti +12

In this paper, we present a classification of $2$ -designs with $g cd (r, λ) = 1$ admitting flag-transitive automorphism groups. If $G$ is a flag-transitive automorphism group of a non-…

math.GR2022

Classification of the non-trivial $2$ - $(k^{2}, k, λ)$ designs, with $λ ∣ k$ , admitting a flag-transitive almost simple automorphism group

Alessandro Montinaro

Non-trivial $2$ - $(k^{2}, k, λ)$ designs, with $λ ∣ k$ , admitting a flag-transitive almost simple automorphism group are classified.

math.CO2022

On Flag-Transitive $2$ - $(k^{2}, k, λ)$ Designs with $λ ∣ k$

Alessandro Montinaro, Eliana Francot

It is shown that, apart from the smallest Ree group, a flag-transitive automorphism group $G$ of a $2$ - $(k^{2}, k, λ)$ design D, with $λ ∣ k$ , is either an affine group or an alm…

math.CO2022

Flag-transitive, point-imprimitive symmetric $2$ - $(v, k, λ)$ designs with $k > λ (λ - 3) /2$

Alessandro Montinaro

Let $D = (P, B)$ be a symmetric $2$ - $(v, k, λ)$ design admitting a flag-transitive, point-imprimitive automorphism group $G$ that leaves invari…

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,λ) Designs with v<100

On a class of quasi-Hermitian surfaces in even characteristic

On flag-transitive automorphism groups of 2-designs with λ prime

The Higman-M\lowercase{c}Laughlin Theorem for the flag-transitive 2-designs with λ prime

Affine groups as flag-transitive and point-primitive automorphism groups of symmetric designs

Analysing 2-(v,k,2) designs admitting a flag-transitive almost simple automorphism group with socle PSL(2,q) by means of conics and hyperovals of PG(2,q)

A Classification of the flag-transitive 2-(v,3,λ) designs with with v≡1,3(mod6) and v≡6(modλ)

A Classification of the flag-transitive 2-(v,k,2) designs

On quasi-Hermitian varieties in even characteristic and related orthogonal arrays

Flag-transitive symmetric 2-designs]{The symmetric 2-(v,k,λ) designs, with k>λ(λ−3)/2, admitting a flag-transitive, point imprimitive automorphism group are known

Classification of the non-trivial 2-(k2,k,λ) designs, with λ∣k, admitting a flag-transitive automorphism group of affine type

Block designs with gcd(r,λ)=1 admitting flag-transitive automorphism groups

Classification of the non-trivial 2-(k2,k,λ) designs, with λ∣k, admitting a flag-transitive almost simple automorphism group

On Flag-Transitive 2-(k2,k,λ) Designs with λ∣k

Flag-transitive, point-imprimitive symmetric 2-(v,k,λ) designs with k>λ(λ−3)/2

$2$ -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 $(v, k, λ)$ Designs with $v < 100$

On flag-transitive automorphism groups of $2$ -designs with $λ$ prime

The Higman-M\lowercase{c}Laughlin Theorem for the flag-transitive $2$ -designs with $λ$ prime

Analysing 2- $(v, k, 2)$ designs admitting a flag-transitive almost simple automorphism group with socle $P S L (2, q)$ by means of conics and hyperovals of $P G (2, q)$

A Classification of the flag-transitive $2$ - $(v, 3, λ)$ designs with with $v \equiv 1, 3 (mod 6)$ and $v \equiv 6 (mod λ)$

A Classification of the flag-transitive $2$ - $(v, k, 2)$ designs

Flag-transitive symmetric $2$ -designs]{The symmetric $2$ - $(v, k, λ)$ designs, with $k > λ (λ - 3) /2$ , admitting a flag-transitive, point imprimitive automorphism group are known

Classification of the non-trivial $2$ - $(k^{2}, k, λ)$ designs, with $λ ∣ k$ , admitting a flag-transitive automorphism group of affine type

Block designs with $g cd (r, λ) = 1$ admitting flag-transitive automorphism groups

Classification of the non-trivial $2$ - $(k^{2}, k, λ)$ designs, with $λ ∣ k$ , admitting a flag-transitive almost simple automorphism group

On Flag-Transitive $2$ - $(k^{2}, k, λ)$ Designs with $λ ∣ k$

Flag-transitive, point-imprimitive symmetric $2$ - $(v, k, λ)$ designs with $k > λ (λ - 3) /2$