Block-transitive t-(k²,k,\lam) designs and simple exceptional groups of Lie type

2025/08/26 by Chen, Xingyu, Guan, Haiyan
#Combinatorics (math.CO) #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2508.18660

Abstract

Let G be an automorphism group of a nontrivial t-(k²,k,λ) design. In this paper, we prove that if G is block-transitive, then the socle of G cannot be a finite simple exceptional group of Lie type.

Citations

• Block-transitive 3-(v,k,1) designs on exceptional groups of Lie type
• Block-transitive 3-(v, k, 1) designs on exceptional groups of Lie type
• Large subgroups of simple groups

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