Solvable line-transitive automorphism groups of finite linear spaces

DOI10.1007/BF02898233zbMath1004.51001OpenAlexW2022402625MaRDI QIDQ1609543

Hui-Ling Li, Wei-jun Liu

Publication date: 15 August 2002

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02898233

zbMATH Keywords

automorphismsline-transitivesolvable groupfinite linear space

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Homomorphism, automorphism and dualities in linear incidence geometry (51A10)

Related Items (2)

\(2\)-\((v,k,1)\) designs and PSL\((3,q)\) where \(q\) is odd ⋮ Unsolvable block transitive automorphism groups of \(2-(v,k,1)(k=6,7,8,9)\) designs

Cites Work

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• Linear spaces with flag-transitive automorphism groups
• Block transitive automorphism groups of 2-(v,k,1) block designs
• Transitive linear groups and linear groups which contain irreducible subgroups of prime order
• The classification of finite linear spaces with flag-transitive automorphism groups of affine type
• Zweifach transitive Permutationsgruppen, in denen 2 die maximale Anzahl von Fixpunkten von Involutionen ist
• On Large Zsigmondy Primes
• On Zsigmondy primes
• The Socle of Automorphism Groups of Linear Spaces

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