Classification of flag-transitive Steiner quadruple systems

DOI10.1006/JCTA.2000.3141zbMath0980.05014arXivmath/0401117OpenAlexW3098813994MaRDI QIDQ5937135

Michael Huber

Publication date: 30 October 2001

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

Full work available at URL: https://arxiv.org/abs/math/0401117

zbMATH Keywords

flag-transitiveSteiner quadruple system

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Other designs, configurations (05B30)

Related Items (6)

Block-transitive \(3\)-\((v, 4, \lambda)\) designs with sporadic or alternating socle ⋮ The classification of flag-transitive Steiner 4-designs ⋮ A census of highly symmetric combinatorial designs ⋮ On the Cameron-Praeger conjecture ⋮ Block-transitive designs in affine spaces ⋮ Almost simple groups with socle \(L_n(q)\) acting on Steiner quadruple systems

Cites Work

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• Zweifach transitive, auflösbare Permutationsgruppen
• Homogeneous designs and geometric lattices
• Linear spaces with flag-transitive automorphism groups
• Doubly homogeneous \(2\text{-}(v,k,1)\) designs
• Finite (line, plane)-flag-transitive planar spaces
• Transitive linear groups and linear groups which contain irreducible subgroups of prime order
• On minimal \(p\)-degrees in \(2\)-transitive permutation groups
• Transitive groups of collineations on certain designs
• Fahnenhomogene Quadrupelsysteme
• On Quadruple Systems
• The 2-Transitive Permutation Representations of the Finite Chevalley Groups

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