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Block-transitive t-(k^2,k,\lam) designs and simple exceptional groups of Lie type
Xingyu Chen, Haiyan Guan · 2025-08-26 · via math.CO updates on arXiv.org

Let G be an automorphism group of a nontrivial t-(k^2,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.

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