S. H. Alavi

activity

20092026

2

-designs arose from Suzuki-Tits ovoid

1 citations · 1 across the 8 of their papers we have counts for

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15 papers · 1 filter

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.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.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 $G$ …

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

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

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

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

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