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20192024
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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 of a symmetr…

math.GR2022

Block designs with admitting flag-transitive automorphism groups

Seyed Hassan Alavi, Mohsen Bayat, Mauro Biliotti +12

In this paper, we present a classification of -designs with admitting flag-transitive automorphism groups. If is a flag-transitive automorphism group of a non-…

math.GR2020

Almost simple groups of Lie type and symmetric designs with prime

Seyed Hassan Alavi, Mohsen Bayat, Ashraf Daneshkhah

In this article, we investigate symmetric designs with prime admitting flag-transitive and point-primitive automorphism groups . We prove that if

math.GR2019

Flag-transitive block designs and unitary groups

Seyed Hassan Alavi, Mohsen Bayat, Ashraf Daneshkhah

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