Flag-transitive quasi-symmetric designs with block intersection numbers 0 and 2

DOI10.1142/S0219498823500937OpenAlexW4210363761MaRDI QIDQ5882594

Shenglin Zhou, Wanbao Zhang

Publication date: 17 March 2023

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498823500937

zbMATH Keywords

automorphism groupquasi-symmetric designprimitivityflag-transitivity

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)

Uses Software

• GAP
• Magma

Cites Work

• Geometric ABA-groups
• Linear spaces with flag-transitive automorphism groups
• Reduction for primitive flag-transitive \((v, k, 4)\)-symmetric designs
• Primitive permutation groups of odd degree, and an application to finite projective planes
• Flag-transitivity and primitivity
• Finite linear spaces with flag-transitive groups
• The classification of finite linear spaces with flag-transitive automorphism groups of affine type
• The Magma algebra system. I: The user language
• On primitivity and reduction for flag-transitive symmetric designs
• On finite linear spaces with almost simple flag-transitive automorphism groups
• Flag-transitive point-primitive symmetric \((v,k,\lambda)\) designs with bounded \(k\)
• Explicit representations of maximal subgroups of the Monster.
• Flag-Transitive Point-Primitive Automorphism Groups of Nonsymmetric 2−(v,k,2) Designs
• Flag‐Transitive Point‐Primitive Symmetric (ν,κ,λ) Designs With λ at Most 100
• Quasi-symmetric balanced incomplete block designs
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