Automorphism groups of linear spaces and their parabolic subgroups

DOI10.1016/J.JCTA.2008.04.001zbMath1160.51008OpenAlexW1980345569MaRDI QIDQ1003616

Yu Liu, Hui-Ling Li

Publication date: 4 March 2009

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcta.2008.04.001

zbMATH Keywords

simple groups of Lie typefinite linear spaceflag transitivity

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Combinatorial structures in finite projective spaces (51E20)

Cites Work

• Geometric ABA-groups
• Linear spaces with significant characteristic prime.
• Linear spaces with flag-transitive automorphism groups
• \(PSL(3,q)\) and line-transitive linear spaces
• Large dimensional classical groups and linear spaces
• Alternating Groups Acting on Finite Linear Spaces
• The rational function analogue of a question of Schur and exceptionality of permutation representations
• Transitive projective planes
• 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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