Flag-transitive point-primitive $(v,k,4)$ symmetric designs with exceptional socle of Lie type

Document Type: Research Paper

Authors

Department of‎ ‎Mathematics‎, ‎South China University‎ ‎of Technology‎, ‎510640‎, ‎Guangzhou‎, ‎China.

Abstract

Let $G$ be an automorphism group of a‎ ‎$2$-$(v,k,4)$ symmetric design $\mathcal D$‎. ‎In this paper‎, ‎we‎ ‎prove that if $G$ is flag-transitive point-primitive‎, ‎then the‎ ‎socle of $G$ cannot be an exceptional group of Lie type‎.

Keywords

Main Subjects


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