Alternating groups and flag-transitive non-symmetric 2-(ν, k, λ) designs with λ ≥ (r, λ)2

作者：Wang, Yajie; Shen, Jiaxin; Zhou, Shenglin^*

来源：Discrete Mathematics, 2022, 345(2): 112703.

DOI：10.1016/j.disc.2021.112703

• 2-Design
• Automorphism group
• Flag-transitive
• Alternating group

In this paper, all non-symmetric 2 (nu, k, lambda) designs with lambda >= (r, lambda)(2) are classified which admit a flag-transitive group of automorphisms with an alternating socle. Up to isomorphism, our classification shows exactly 20 such designs, and, for each of these designs, we explicitly determine the corresponding flag-transitive automorphism groups.