Flag-transitive block designs and finite exceptional simple groups of Lie type

2019/08/16 by Alavi, Seyed Hassan · 2 citations
#Combinatorics (math.CO) #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1908.05831

Abstract

In this article, we study 2-designs with gcd(r,λ)=1 admitting a flag-transitive almost simple automorphism group with socle a finite simple exceptional group of Lie type. We obtain four infinite families of such designs and provide some examples in each of these families.

Cited by

• Flag-transitive point-primitive quasi-symmetric 2-designs and exceptional groups of Lie type
• On flag-transitive automorphism groups of 2-designs with λ prime

Related

• Almost simple groups as flag-transitive automorphism groups of 2-designs with λ = 2
• Flag-transitive non-symmetric 2-designs with (r,λ)=1 and exceptional groups of Lie type
• Flag-transitive point-primitive quasi-symmetric 2-designs and exceptional groups of Lie type
• Finite exceptional groups of Lie type and symmetric designs
• A classification of flag-transitive block designs