S. H. Alavi

activity

20092026

most citedFlag-transitive block designs and finite exceptional simple groups of Lie type

4 citations · 9 across the 19 of their papers we have counts for

collaborators

27 papers

math.CO2026

A new flag-transitive linear space

Seyed Hassan Alavi, Ashraf Daneshkhah, Martin W. Liebeck +1

We construct a new flag-transitive $2$ - $(496, 4, 1)$ design with automorphism group $PΓL_{2} (32)$ . This corrects an omission in the classification of the finite flag-transitiv…

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.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

Higher-dimensional grid-imprimitive block-transitive designs

Seyed Hassan Alavi, Carmen Amarra, Ashraf Daneshkhah +2

It was shown in 1989 by Delandtsheer and Doyen that, for a $2$ -design with $v$ points and block size $k$ , a block-transitive group of automorphisms can be point-imprimitive (that i…

math.GR2023

Sporadic simple groups as flag-transitive automorphism groups of symmetric designs

Seyed Hassan Alavi, Ashraf Daneshkhah

In this article, we study symmetric designs admitting flag-transitive, point-imprimitive almost simple automorphism groups with socle sporadic simple groups. As a corollary, we pre…

math.GR2023

Almost simple groups as flag-transitive automorphism groups of 2-designs with λ = 2

Seyed Hassan Alavi

In this article, we study $2$ -designs with $λ = 2$ admitting a flag-transitive almost simple automorphism group with socle a finite simple exceptional group of Lie type, and we prove…

math.GR2023

On groups with the same character degrees as almost simple groups with socle small Ree groups

Seyed Hassan Alavi

Let $G$ be a finite group and $cd (G)$ denote the set of complex irreducible character degrees of $G$ . In this paper, we prove that if $G$ is a finite group and $H$ is an almo…

math.GR2022

On quantitative structure of symplectic groups

Seyed Hassan Alavi, Ashraf Daneshkhah, Hosein Parvizi Mosaed

The main aim of this article is to study the quantitative structure of projective symplectic groups $P S p_{4} (q)$ with $q > 2$ even. Indeed, we prove that the groups $P S p_{4} (q)$ with…

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.CO2022

Block-transitive two-designs based on grids

Seyed Hassan Alavi, Ashraf Daneshkhah, Alice Devillers +1

We study point-block incidence structures $(P, B)$ for which the point set $P$ is an $m \times n$ grid. Cameron and the fourth author showed that each b…

math.GR2020★ 1 cited

A note on two families of $2$ -designs arose from Suzuki-Tits ovoid

Seyed Hassan Alavi

In this note, we give a precise construction of one of the families of $2$ -designs arose from studying flag-transitive $2$ -designs with parameters $(v, k, λ)$ whose replication numbe…

math.GR2020

Symmetries of biplanes

Seyed Hassan Alavi, Ashraf Daneshkhah, Cheryl E Praeger

In this paper, we first study biplanes $D$ with parameters $(v, k, 2)$ , where the block size $k \in {13, 16}$ . These are the smallest parameter values for which a classifica…

math.GR2020

Almost simple groups of Lie type and symmetric designs with $λ$ prime

Seyed Hassan Alavi, Mohsen Bayat, Ashraf Daneshkhah

In this article, we investigate symmetric $(v, k, λ)$ designs $D$ with $λ$ prime admitting flag-transitive and point-primitive automorphism groups $G$ . We prove that if $G$ …

math.GR2019

A classification of flag-transitive block designs

Seyed Hassan Alavi, Ashraf Daneshkhah, Fatemeh Mouseli

In this article, we investigate $2$ - $(v, k, λ)$ designs with $g cd (r, λ) = 1$ admitting flag-transitive automorphism groups $G$ . We prove that if $G$ is an almost simple group, then suc…

math.GR2019

Flag-transitive block designs and unitary groups

Seyed Hassan Alavi, Mohsen Bayat, Ashraf Daneshkhah

In this article, we study $2$ -designs with $g cd (r, λ) = 1$ admitting a flag-transitive automorphism group. The automorphism groups of these designs are point-primitive of almost sim…

math.GR2019★ 4 cited

Flag-transitive block designs and finite exceptional simple groups of Lie type

Seyed Hassan Alavi

In this article, we study $2$ -designs with $g cd (r, λ) = 1$ admitting a flag-transitive almost simple automorphism group with socle a finite simple exceptional group of Lie type. We o…

math.GR2019

Flag-transitive block designs with prime replication number and almost simple groups

Seyed Hassan Alavi, Mohsen Bayat, Jalal Choulaki +1

In this article, we study $2$ -designs with prime replication number admitting a flag-transitive automorphism group. The automorphism groups of these designs are point-primitive of…

math.CO2019

Symmetric designs and four dimensional projective special unitary groups

Seyed Hassan Alavi, Mohsen Bayat, Asharf Daneshkhah +1

In this article, we study symmetric $(v, k, λ)$ designs admitting a flag-transitive and point-primitive automorphism group $G$ whose socle is $P S U_{4} (q)$ . We prove that there exis…

math.GR2019

On flag-transitive automorphism groups of symmetric designs

Seyed Hassan Alavi, Ashraf Daneshkhah, Narges Okhovat

In this article, we study flag-transitive automorphism groups of non-trivial symmetric $(v, k, λ)$ designs, where $λ$ divides $k$ and $k \geq λ^{2}$ . We show that such an automorphism…

math.GR2017

Finite exceptional groups of Lie type and symmetric designs

Seyed Hassan Alavi, Mohsen Bayat, Ashraf Daneshkhah

In this article, we study symmetric $(v, k, λ)$ designs admitting a flag-transitive and point-primitive automorphism group $G$ whose socle $X$ is a finite simple exceptional group…

math.GR2016

On quantitative structure of small Ree groups

Seyed Hassan Alavi, Ashraf Daneshkhah, Hosein Parvizi Mosaed

The main aim of this article is to study quantitative structure of small Ree Groups $^{2} G_{2} (q)$ . Here, we prove that small Ree groups are uniquely determined by their orders and…

math.GR2016

Finite groups of the same type as Suzuki groups

Seyed Hassan Alavi, Ashraf Daneshkhah, Hosein Parvizi Mosaed

For a finite group $G$ and a positive integer $n$ , let $G (n)$ be the set of all elements in $G$ such that $x^{n} = 1$ . The groups $G$ and $H$ are said to be of the same (order) type…

math.GR2016

On groups with the same character degrees as almost simple groups with socle sporadic simple groups

Seyed Hassan Alavi, Ashraf Daneshkhah, Ali Jafari

Let G be a finite group and cd(G) denote the set of complex irreducible character degrees of G. In this paper, we prove that if G is a finite group and H is an almost simple group…

math.GR2015

On groups with the same character degrees as almost simple groups with socle the Mathieu groups

Seyed Hassan Alavi, Ashraf Daneshkhah, Ali Jafari

Let $G$ be a finite group and $c d (G)$ denote the set of complex irreducible character degrees of $G$ . In this paper, we prove that if $G$ is a finite group and $H$ is an almost sim…

A new flag-transitive linear space

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

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

Higher-dimensional grid-imprimitive block-transitive designs

Sporadic simple groups as flag-transitive automorphism groups of symmetric designs

Almost simple groups as flag-transitive automorphism groups of 2-designs with λ = 2

On groups with the same character degrees as almost simple groups with socle small Ree groups

On quantitative structure of symplectic groups

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

Block-transitive two-designs based on grids

A note on two families of 2-designs arose from Suzuki-Tits ovoid

Symmetries of biplanes

Almost simple groups of Lie type and symmetric designs with λ prime

A classification of flag-transitive block designs

Flag-transitive block designs and unitary groups

Flag-transitive block designs and finite exceptional simple groups of Lie type

Flag-transitive block designs with prime replication number and almost simple groups

Symmetric designs and four dimensional projective special unitary groups

On flag-transitive automorphism groups of symmetric designs

Finite exceptional groups of Lie type and symmetric designs

On quantitative structure of small Ree groups

Finite groups of the same type as Suzuki groups

On groups with the same character degrees as almost simple groups with socle sporadic simple groups

On groups with the same character degrees as almost simple groups with socle the Mathieu groups

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

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

A note on two families of $2$ -designs arose from Suzuki-Tits ovoid

Almost simple groups of Lie type and symmetric designs with $λ$ prime