M. Bayat

activity

20192022

collaborators

5 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.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

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

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…