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

DOI10.1016/j.amc.2020.125034zbMath1433.05049OpenAlexW3005220179MaRDI QIDQ2294903

Chaohui Yang, Shaojun Dai, JianXiong Tang, Shangzhao Li, Wei-jun Liu

Publication date: 12 February 2020

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

Full work available at URL: https://doi.org/10.1016/j.amc.2020.125034

zbMATH Keywords

2-designblock-transitive\(\mathrm{PGL}_2(q)\) group

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)

Cites Work

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• Homogeneous designs and geometric lattices
• Block transitive automorphism groups of 2-(v,k,1) block designs
• Finite linear spaces admitting a two-dimensional projective linear group
• On the automorphisms of \(2 -(v, k, 1)\) designs
• \(2\)-\((v, k, 1)\) designs admitting automorphism groups with socle \(\mathrm{Sz}(q)\)
• \(3\)-designs from PGL\((2,q)\)
• On the orbits of collineation groups

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