S. H. Alavi

activity

20092022

2

-designs arose from Suzuki-Tits ovoid

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

collaborators

15 papers

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…