Block‐transitive designs based on grids

DOI10.1112/blms.12744zbMath1527.05024arXiv2201.01143OpenAlexW4308881917MaRDI QIDQ6096736

Seyed Hassan Alavi, Ashraf Daneshkhah, Alice Devillers, Cheryl E. Praeger

Publication date: 15 September 2023

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.01143

zbMATH Keywords

\(t\)-designcomplete bipartite graphgridflag-transitive designblock-transitive design

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Group actions on combinatorial structures (05E18)

Related Items (3)

Block-transitive 2-designs with a chain of imprimitive point-partitions ⋮ Flag-transitive, point-imprimitive 2-designs and direct products of symmetric groups ⋮ Flag-transitive and point-imprimitive designs with wreath product

Cites Work

• Unnamed Item
• Constructing flag-transitive, point-imprimitive designs
• Block-transitive \(t\)-designs. I: Point-imprimitive designs
• The Magma algebra system. I: The user language
• Flag-transitive point-quasiprimitive automorphism groups of 2-designs with \(\lambda \leq 4\)
• Flag-transitive block designs with automorphism group \(S_n w r S_2\)
• Flag‐transitive 2‐ designs of product type

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