Steiner systems with automorphism groups \(PSL(2,71)\), \(PSL(2,83)\), and \(P\Sigma L(2,3^5)\)

DOI10.1007/BF01220295zbMath0973.51007MaRDI QIDQ1976885

Alfred Wassermann, Sergey Molodtsov, Anton Betten, Reinhard Laue

Publication date: 7 March 2001

Published in: Journal of Geometry (Search for Journal in Brave)

zbMATH Keywords

automorphism groupSteiner system

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Steiner systems in finite geometry (51E10)

Related Items (4)

Simple \(8\)-\((31,12,3080)\), \(8\)-\((40,12,16200)\) and \(8\)-\((40,12,16520)\) designs from \(\mathrm{PSL}(3,5)\) and \(\mathrm{PSL}(4,3)\) ⋮ Some rigid Steiner 5-designs ⋮ The Kramer-Mesner method with tactical decompositions: some new unitals on 65 points ⋮ Recursive constructions for \(s\)-resolvable \(t\)-designs

Uses Software

• DISCRETA

Cites Work

• A classification of the maximal subgroups of the finite alternating and symmetric groups
• t-designs on hypergraphs
• A Steiner \(5\)-design on 36 points
• Steiner systems 𝑆(5,6,𝑣) with 𝑣=72 and 84
• The t‐designs with prescribed automorphism group, new simple 6‐designs
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