Solvable block-transitive automorphism groups of \(2\)-\((v,k,1)\) designs

DOI10.1006/JCTA.2000.3067zbMath0971.05022OpenAlexW4212903767MaRDI QIDQ5929843

Hui-Ling Li, Wei-jun Liu

Publication date: 8 July 2001

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

Full work available at URL: https://doi.org/10.1006/jcta.2000.3067

zbMATH Keywords

block-transitive automorphisms groupsflag-transitive automorphism groupssolvable linear groups

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10)

Related Items (1)

Block-transitive automorphism groups of Steiner 3-designs

Cites Work

• Geometric ABA-groups
• Block transitive automorphism groups of designs
• Linear spaces with flag-transitive automorphism groups
• Most block-transitive t-designs are point-primitive
• Block transitive automorphism groups of 2-(v,k,1) block designs
• Transitive linear groups and linear groups which contain irreducible subgroups of prime order
• Zweifach transitive Permutationsgruppen, in denen 2 die maximale Anzahl von Fixpunkten von Involutionen ist
• The Socle of Automorphism Groups of Linear Spaces
• On the orbits of collineation groups

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