A finiteness theorem of block-transitive point-imprimitive 3-designs

DOI10.1016/j.disc.2023.113819zbMath1530.05015OpenAlexW4389229322MaRDI QIDQ6177421

Yunfei Zhu, Haiyan Guan

Publication date: 17 January 2024

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2023.113819

zbMATH Keywords

block-transitive3-designpoint-imprimitive

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Other designs, configurations (05B30) General block designs in finite geometry (51E05)

Cites Work

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• Block-transitive \(t\)-designs. I: Point-imprimitive designs
• Finite line-transitive linear spaces: theory and search strategies
• Most block-transitive t-designs are point-primitive
• A note on block-transitive point-imprimitive designs
• ON A DIVISIBILITY PROBLEM FOR POLYNOMIALS AND ITS APPLICATION TO CAMERON–PRAEGER DESIGNS
• A survey of the automorphism groups of block designs
• On the orbits of collineation groups
• Block-transitive point-imprimitive \(t\)-designs

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