Block-transitive \(2\)-\((v, k, 1)\) designs and the Chevalley groups \(F_4(q)\)
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Publication:298469
DOI10.1016/j.amc.2014.09.103zbMath1338.05020OpenAlexW2073966699MaRDI QIDQ298469
Shangzhao Li, Guangguo Han, Wei-jun Liu
Publication date: 20 June 2016
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2014.09.103
Combinatorial aspects of block designs (05B05) Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25)
Related Items (3)
On the automorphisms of \(2 -(v, k, 1)\) designs ⋮ Some properties of graphs constructed from 2-designs ⋮ \(2\)-\((v, k, 1)\) designs admitting automorphism groups with socle \(\mathrm{Sz}(q)\)
Cites Work
- Block-transitive 2-\((v, k, 1)\) designs and the twisted simple groups \({}^2 E_6(q)\)
- Linear spaces with flag-transitive automorphism groups
- Almost simple groups with socle \(\text{Ree}(q)\) acting on finite linear spaces.
- Alternating Groups Acting on Finite Linear Spaces
- Sporadic groups and automorphisms of linear spaces
- The Socle of Automorphism Groups of Linear Spaces
- On the Overgroups of Irreducible Subgroups of the Finite Classical Groups
- On the orbits of collineation groups
- Line-transitive, point quasiprimitive automorphism groups of finite linear spaces are affine or almost simple.
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