On block-transitive 2--(\(v\), 4, 1) designs

DOI10.1016/0097-3165(95)90109-4zbMath0823.05012OpenAlexW2028101057MaRDI QIDQ1344232

Hui-Ling Li

Publication date: 8 March 1995

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0097-3165(95)90109-4

zbMATH Keywords

group of automorphismsblock-transitiveunsolvable groupflag- transitive

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Arithmetic and combinatorial problems involving abstract finite groups (20D60)

Related Items (10)

Block-transitive 2-\((v, k, 1)\) designs and the twisted simple groups \({}^2 E_6(q)\) ⋮ The non-existence of block-transitive subspace designs ⋮ Unsolvable block transitive automorphism groups of \(2\)-\((v,5,1)\) designs ⋮ Unsolvable Block Transitive Automorphism Groups of 2-(v,11,1) Designs ⋮ The \(2\)-\((v,11,1)\) designs with unsolvable block transitive automorphism ⋮ Automorphisms of linear spaces and groups \(^2E_6(q)\) ⋮ Sporadic groups and automorphisms of linear spaces ⋮ Unsolvable block transitive automorphism groups of \(2-(v,k,1)(k=6,7,8,9)\) designs ⋮ The existence and construction of a family of block-transitive 2-(\(v\),6,1)designs ⋮ Finite projective planes admitting a projective linear group \(\operatorname{PSL}(2, q)\)

Cites Work

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• Theorems like Wielandt's
• Linear spaces with flag-transitive automorphism groups
• The maximal subgroups of the Steinberg triality groups \(3D_ 4(q)\) and their automorphism groups
• The maximal subgroups of the Chevalley groups \(G_ 2(q)\) with q odd, the Ree groups \(2G_ 2(q)\), and their automorphism groups
• Block transitive automorphism groups of 2-(v,k,1) block designs
• Endliche Gruppen I

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