Geodesic
Almost simple groups as flag-transitive automorphism groups of symmetric designs with λ prime
Ars Mathematica Contemporanea, Tome 23 (2023) no. 4, article no. 03, 10 p.

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In this article, we study symmetric designs with λ prime admitting a flag-transitive and point-primitive automorphism groups G of almost simple type. We prove that either D is one of the six well-known examples of biplanes and triplanes, or D is the point- hyperplane design of PG(n−1,q) with λ = (q^{n−2}−1)/(q−1) prime and X = PSLn(q).
DOI : 10.26493/1855-3974.2683.5f3
Keywords: Almost simple group, automorphism group, flag-transitive, point-primitive, symmetric design 
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Seyed Hassan Alavi; Ashraf Daneshkhah; Fatemeh Mouseli. Almost simple groups as flag-transitive automorphism groups of symmetric designs with λ prime. Ars Mathematica Contemporanea, Tome 23 (2023) no. 4, article  no. 03, 10 p. doi : 10.26493/1855-3974.2683.5f3. http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.2683.5f3/

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