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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
Alternating groups as flag-transitive automorphism groups of 2-designs with block size seven
Ashraf Daneshkhah
In this article, we prove that if is a -design with admitting flag-transitive almost simple automorphism group with socle an alternating group, then $\mathca…