\(2\)-\((v, k, 1)\) designs admitting automorphism groups with socle \(\mathrm{Sz}(q)\)

DOI10.1016/j.amc.2019.01.036zbMath1428.05039OpenAlexW2914191426MaRDI QIDQ2010572

Xianhua Li, Shangzhao Li, Wei-jun Liu

Publication date: 27 November 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2019.01.036

zbMATH Keywords

automorphismsoclek1)\) design\(2\)-\((v

Mathematics Subject Classification ID

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

Related Items

Block transitive \(2\)-\(( v , k , 1 )\) designs and \(\mathrm{PGL}_2(q)\) groups

Cites Work

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• Block-transitive \(2\)-\((v, k, 1)\) designs and the Chevalley groups \(F_4(q)\)
• Existence of 2-\((v,k,1)\) designs admitting a block-transitive group of affine type
• Linear spaces with flag-transitive automorphism groups
• Finite linear spaces with flag-transitive groups
• Block transitive automorphism groups of 2-(v,k,1) block designs
• Steiner triple systems with block-transitive automorphism groups
• Vertex-primitive graphs of order a product of two distinct primes
• The Chevalley groups \(G_2(q)\) with \(q\) odd and 2-\((v,k,1)\) designs
• Suzuki groups and automorphisms of finite linear spaces
• Suzuki groups Sz\((q)\) and \(2\)-\((v,k,1)\) block designs
• On the automorphisms of \(2 -(v, k, 1)\) designs
• Almost simple groups with socle \(G_2(q)\) acting on finite linear spaces
• Automorphisms of linear spaces and groups \(^2E_6(q)\)
• Almost simple groups with socle \(\text{Ree}(q)\) acting on finite linear spaces.
• Large dimensional classical groups and linear spaces
• Nonexistence of $2-(v, k, 1)$ designs admitting automorphism groups with socle $E_8(q)$
• A NEW TYPE OF SIMPLE GROUPS OF FINITE ORDER
• 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
• Point-primitive linear spaces with number of points being a product of two primes
• On a class of doubly transitive groups
• On the orbits of collineation groups
• Line-transitive, point quasiprimitive automorphism groups of finite linear spaces are affine or almost simple.