On symmetric designs with flag‐transitive and point‐quasiprimitive automorphism groups

DOI10.1002/jcd.21924OpenAlexW4388416122MaRDI QIDQ6121303

Shenglin Zhou, Jianfu Chen, Zhilin Zhang

Publication date: 26 February 2024

Published in: Journal of Combinatorial Designs (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/jcd.21924

zbMATH Keywords

symmetric designsflag-transitiveimprimitive groupsO'Nan-Scott theoremquasiprimitive permutation groups

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)

Cites Work

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• Large subgroups of simple groups.
• 2-transitive and antiflag transitive collineation groups of finite projective spaces
• Imprimitive flag-transitive symmetric designs
• Almost simple groups with socle \(^{3} D_{4}( q )\) act on finite linear spaces
• Primitive permutation groups of odd degree, and an application to finite projective planes
• Flag-transitivity and primitivity
• Suzuki groups and automorphisms of finite linear spaces
• Finite linear spaces admitting a two-dimensional projective linear group
• Finite transitive permutation groups and bipartite vertex-transitive graphs
• Finite linear spaces admitting a Ree simple group.
• On primitivity and reduction for flag-transitive symmetric designs
• Flag-transitive and point-imprimitive symmetric designs with \(\lambda \leq 10\)
• \(PSL(3,q)\) and line-transitive linear spaces
• Large dimensional classical groups and linear spaces
• The primitive permutation groups of degree less than 2500.
• Primitive symmetric designs with up to 2500 points
• The Primitive Permutation Groups of Degree Less Than 4096
• On the Normal Structure of Flag Transitive Automorphism Groups of 2-Designs
• An O'Nan-Scott Theorem for Finite Quasiprimitive Permutation Groups and an Application to 2-Arc Transitive Graphs
• The primitive permutation groups of degree less than 1000
• Alternating Groups Acting on Finite Linear Spaces
• Sporadic groups and automorphisms of linear spaces
• Flag‐Transitive Point‐Primitive Symmetric (ν,κ,λ) Designs With λ at Most 100
• On imprimitive rank 3 permutation groups
• Line-transitive, point quasiprimitive automorphism groups of finite linear spaces are affine or almost simple.

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