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arXiv · 2508.19515

Block-transitive t-(k^2,k,\lambda) designs associated to two dimensional projective special linear groups

Guoqiang Xiong·Haiyan Guan
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Abstract

This paper investigates block-transitive automorphism groups of t-(k^2,k,\lambda) designs. Let D be a non-trivial t-(k^2,k,\lambda) design, G \leq \Aut(D) be block-transitive with X\unlhd G\leq \Aut(X), where X = PSL(2,q)(q\geq4). Then q = 8 and D is a 2-(36,6,\lambda) design with \lambda \in \{2,6,9,12,18,36\}.

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Guoqiang Xiong, Haiyan Guan. 2025-08-27. Block-transitive t-(k^2,k,\lambda) designs associated to two dimensional projective special linear groups. https://arxiv.org/abs/2508.19515

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