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arXiv · 2508.18660

Block-transitive t-(k^2,k,\lam) designs and simple exceptional groups of Lie type

Xingyu Chen·Haiyan Guan
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Abstract

Let G be an automorphism group of a nontrivial t-(k^2,k,\lambda) 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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Xingyu Chen, Haiyan Guan. 2025-08-26. Block-transitive t-(k^2,k,\lam) designs and simple exceptional groups of Lie type. https://arxiv.org/abs/2508.18660

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