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Bibliographic Details
Main Authors: Xiong, Guoqiang, Guan, Haiyan
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2508.19515
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Table of Contents:
  • 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\}.