Reduction of flag-transitive automorphism groups of \(2\)-\((v,k, \lambda )\) designs with \((r - \lambda ,k)=1\)

DOI10.1016/j.disc.2021.112521zbMath1496.20002OpenAlexW3177934395MaRDI QIDQ2043389

Wanbao Zhang, Shenglin Zhou

Publication date: 2 August 2021

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

Full work available at URL: https://doi.org/10.1016/j.disc.2021.112521

zbMATH Keywords

automorphism group2-designprimitivityflag-transitivity

Mathematics Subject Classification ID

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

Related Items

Block‐transitive automorphism groups of 2‐(v,k,λ) $(v,k,\lambda )$ designs with (r,k)=1 $(r,k)=1$ ⋮ Flag-transitive 2-designs with \((r - \lambda ,k)=1\) and alternating socle

Uses Software

• GAP
• Magma

Cites Work

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• Linear spaces with flag-transitive automorphism groups
• Flag-transitivity and primitivity
• Finite linear spaces with flag-transitive groups
• Flag transitive automorphism groups of 2-designs with \((r,\lambda)=1\)
• The Magma algebra system. I: The user language
• Flag-Transitive Point-Primitive Automorphism Groups of Nonsymmetric 2−(v,k,2) Designs
• Flag-transitive automorphism groups of 2-designs with λ ≥ (r, λ)^2 and an application to symmetric designs
• Flag‐Transitive Point‐Primitive Symmetric (ν,κ,λ) Designs With λ at Most 100