Block-transitive t-(k^2,k,λ) designs associated to two dimensional projective special linear groups
Year: 2025
Type: preprint
Abstract: This paper investigates block-transitive automorphism groups of t-(k^2,k,λ) designs. Let D be a non-trivial t-(k^2,k,λ) 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,λ) design with λ\in \{2,6,9,12,18,36\}.
Source: arXiv (Cornell University)
Authors: Xiong, Guoqiang, Guan, Haiyan
Language: English
Topic: Finite Group Theory Research
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7078411844
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