Reduction for flag‐transitive point‐primitive 2‐(v, k, λ) designs with λ prime

DOI10.1002/jcd.21927MaRDI QIDQ6121302

Jianfu Chen, Yongli Zhang

Publication date: 26 February 2024

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

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) Combinatorial aspects of finite geometries (05B25) Group actions on combinatorial structures (05E18)

Cites Work

• Flag-transitivity and primitivity
• The Magma algebra system. I: The user language
• Flag-transitive point-primitive automorphism groups of non-symmetric 2-\((v,k,3)\) designs
• Point regular normal subgroups of flag transitive automorphism groups of \(2\)-designs
• Reduction for primitive flag-transitive symmetric \(2\)-\(( v , k , \lambda )\) designs with \(\lambda\) prime
• Flag-Transitive Point-Primitive Automorphism Groups of Nonsymmetric 2−(v,k,2) Designs
• On the maximum orders of elements of finite almost simple groups and primitive permutation groups
• Almost simple groups as flag-transitive automorphism groups of symmetric designs with λ prime
• Reduction for flag-transitive symmetric designs with \(k > \lambda(\lambda - 2)\)
• Flag-transitive 2-(v,k,λ) designs with λ prime and alternating socle
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