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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 -designs with 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 be a finite group and denote the set of complex irreducible character degrees of . In this paper, we prove that if is a finite group and is an almo…