Flag-transitive non-symmetric 2-designs with (r, λ)=1 and exceptional groups of Lie type

作者：Zhang, Yongli; Zhou, Shenglin^*

来源：ELECTRONIC JOURNAL OF COMBINATORICS, 2020, 27(2): P2.9.

DOI：10.37236/8832

• MAXIMAL-SUBGROUPS
• SYMMETRIC DESIGNS
• FINITE
• RANK
• 2-(V

This paper determines all pairs (D,G) where D is a non-symmetric 2-(v, k, lambda) design with (r, lambda) = 1 and G is the almost simple flag-transitive automorphism group of D with an exceptional socle of Lie type. We prove that if T (sic) G <= Aut(T) where T is an exceptional group of Lie type, then T must be the Ree group or Suzuki group, and there are five classes of designs D.