The reduction of block-transitive 3-(v,k,2) designs

Luozhong Gong, Weijun Liu and Shaojun Dai

Applied Mathematics and Computation, 2025, vol. 500, issue C

Abstract: Using the O'Nan-Scott Theorem for classifying the primitive permutation group, the classification problem of 3-design is discussed. And the block-transitive and point-primitive automorphism groups of a 3-(v,k,2) designs is reduced to affine type and almost simple type.

Keywords: 3-design; Block-transitive; Point-primitive; Automorphism group (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:500:y:2025:i:c:s0096300325001626

DOI: 10.1016/j.amc.2025.129435

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