Groups \(S_n \times S_m\) in construction of flag-transitive block designs

DOI10.3336/gm.56.2.02zbMath1482.05345OpenAlexW4200607379MaRDI QIDQ5030984

Tanja Vojković, Snježana Braić, Tanja Vučičić, Aljoša Šubašić, Joško Mandić

Publication date: 18 February 2022

Published in: Glasnik Matematicki (Search for Journal in Brave)

Full work available at URL: https://hrcak.srce.hr/file/388481

zbMATH Keywords

automorphism groupscombinatorial designsincidence structures

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) General theory for infinite permutation groups (20B07) Group actions on combinatorial structures (05E18)

Related Items (3)

Constructing flag-transitive incidence structures ⋮ Block-transitive 2-designs with a chain of imprimitive point-partitions ⋮ Flag-transitive, point-imprimitive 2-designs and direct products of symmetric groups

Uses Software

• Magma

Cites Work

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• Block-transitive \(t\)-designs. I: Point-imprimitive designs
• A classification of the maximal subgroups of the finite alternating and symmetric groups
• Flag-transitive block designs with automorphism group \(S_n w r S_2\)
• Point regular normal subgroups of flag transitive automorphism groups of \(2\)-designs
• On the Normal Structure of Flag Transitive Automorphism Groups of 2-Designs

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