Flag-transitive, point-imprimitive 2-designs and direct products of symmetric groups

DOI10.37236/11002OpenAlexW4394925094MaRDI QIDQ6126443

Jianfu Chen, Jiaxin Shen, Shenglin Zhou

Publication date: 9 April 2024

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.37236/11002

zbMATH Keywords

flag-transitive automorphism groupsstructure of 2-designs

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Combinatorial aspects of finite geometries (05B25) Combinatorial aspects of groups and algebras (05E16)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Constructing flag-transitive, point-imprimitive designs
• Block-transitive \(t\)-designs. I: Point-imprimitive designs
• Flag-transitivity and primitivity
• Most block-transitive t-designs are point-primitive
• Automorphism groups of designs
• Groups \(S_n \times S_m\) in construction of flag-transitive block designs
• Block‐transitive designs based on grids
• On 2-(v,k,λ) Designs with Flag-Transitive Automorphism Groups of Product Action Type

This page was built for publication: Flag-transitive, point-imprimitive 2-designs and direct products of symmetric groups