Almost simple groups with socle \(^{3} D_{4}( q )\) act on finite linear spaces

DOI10.1007/S11425-006-2040-2zbMath1110.51010OpenAlexW1546758574MaRDI QIDQ870732

Shaojun Dai, Luozhong Gong, Wei-jun Liu

Publication date: 14 March 2007

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-006-2040-2

zbMATH Keywords

automorphismline-transitivelinear spacealmost simple group

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Other finite linear geometries (51E26)

Related Items (3)

Block-transitive \(3\)-\((v, k, 1)\) designs associated with alternating groups ⋮ On symmetric designs with flag‐transitive and point‐quasiprimitive automorphism groups ⋮ On the automorphisms of \(2 -(v, k, 1)\) designs

Cites Work

• Linear spaces with flag-transitive automorphism groups
• The maximal subgroups of the Steinberg triality groups \(3D_ 4(q)\) and their automorphism groups
• Finite linear spaces with flag-transitive groups
• Block transitive automorphism groups of 2-(v,k,1) block designs
• The Chevalley groups \(G_2(q)\) with \(q\) odd and 2-\((v,k,1)\) designs
• Suzuki groups and automorphisms of finite linear spaces
• Finite linear spaces admitting a two-dimensional projective linear group
• Finite linear spaces admitting a projective group \(\text{PSU}(3,q)\) with \(q\) even
• Finite linear spaces admitting a Ree simple group.
• The Ree groups \(^2G_2(q)\) and \(2\)-\((v,k,1)\) block designs
• Steinberg triality groups acting on 2-\((v,k,1)\) designs
• Almost simple groups with socle \(\text{Ree}(q)\) acting on finite linear spaces.
• A characterization of the Steinberg groups \(D_ 4^ 2(q^ 3), q = 2^ n\)
• Alternating Groups Acting on Finite Linear Spaces
• Sporadic groups and automorphisms of linear spaces
• The rational function analogue of a question of Schur and exceptionality of permutation representations
• On the orbits of collineation groups
• Suzuki groups and 2-\((v,k,1)\) designs

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