Alternating groups and flag-transitive triplanes

作者：Zhou Shenglin^*; Dong Huili

来源：Designs, Codes and Cryptography, 2010, 57(2): 117-126.

DOI：10.1007/s10623-009-9355-2

• Symmetric design
• Triplane
• Flag-transitive
• Point-primitive
• Alternating group
• Projective space

Let D be a nontrivial triplane, and G be a subgroup of the full automorphism group of D. In this paper we prove that if D is a triplane, G <= Aut (D) is flag-transitive, point-primitive and Soc(G) is an alternating group, then D is the projective space PG(2)(3, 2), and G congruent to Lambda(7) with the point stabiliser G(x) congruent to PSL(3)(2).

• 出版日期2010-11
• 单位华南理工大学