Finite linear spaces admitting a projective group \(\text{PSU}(3,q)\) with \(q\) even

DOI10.1016/S0024-3795(03)00610-4zbMath1026.05011MaRDI QIDQ1414165

Wei-jun Liu

Publication date: 19 November 2003

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

automorphismline-transitivelinear spaceprojective linear group

Mathematics Subject Classification ID

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

Related Items (11)

Block-transitive 2-\((v, k, 1)\) designs and the twisted simple groups \({}^2 E_6(q)\) ⋮ Almost simple groups with socle \(^{3} D_{4}( q )\) act on finite linear spaces ⋮ Minimal partition-free groups ⋮ The existence of minimal logarithmic signatures for the sporadic Suzuki and simple Suzuki groups ⋮ Block-transitive \(3\)-\((v, k, 1)\) designs associated with alternating groups ⋮ Finite linear spaces admitting a Ree simple group. ⋮ On the automorphisms of \(2 -(v, k, 1)\) designs ⋮ Almost simple groups with socle \(\text{Ree}(q)\) acting on finite linear spaces. ⋮ Unsolvable block transitive automorphism groups of \(2-(v,k,1)(k=6,7,8,9)\) designs ⋮ Finite line-transitive linear spaces: theory and search strategies ⋮ Finite projective planes admitting a projective linear group \(\operatorname{PSL}(2, q)\)

Cites Work

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• Linear spaces with flag-transitive automorphism groups
• Block transitive automorphism groups of 2-(v,k,1) block designs
• Vertex-primitive graphs of order a product of two distinct primes
• Suzuki groups and automorphisms of finite linear spaces
• Finite linear spaces admitting a two-dimensional projective linear group
• The Ree groups \(^2G_2(q)\) and \(2\)-\((v,k,1)\) block designs
• Line-Transitive Automorphism Groups of Linear Spaces
• Alternating Groups Acting on Finite Linear Spaces
• Sporadic groups and automorphisms of linear spaces
• The Socle of Automorphism Groups of Linear Spaces
• Endliche Gruppen I
• The Character Tables for SL(3, q), SU(3, q²), PSL(3, q), PSU(3, q²)
• On the orbits of collineation groups
• Line-primitive \(2\)-\((v,k,1)\) designs with \(k/(k,v)\leq 10\)
• Suzuki groups and 2-\((v,k,1)\) designs

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