Flag-transitive point-primitive symmetric (v, k, λ) designs with bounded k

作者：Zhang, Zhilin; Yuan, Pingzhi^*; Zhou, Shenglin^*

来源：ELECTRONIC JOURNAL OF COMBINATORICS, 2020, 27(4): P4.40.

DOI：10.37236/9335

• PERMUTATION-GROUPS
• AUTOMORPHISM-GROUPS
• 2-(V

In 2012, Tian and Zhou conjectured that a flag-transitive and point-primitive automorphism group of a symmetric (v, k, lambda) design must be an affine or almost simple group. In this paper, we study this conjecture and prove that if k <= 10(3) and G <= Aut(D) is flag-transitive, point-primitive, then G is affine or almost simple. This support the conjecture.