Primitive symmetric designs with up to 2500 points

DOI10.1002/jcd.20291zbMath1242.05030OpenAlexW2031296529MaRDI QIDQ2896014

Snježana Braić, Tanja Vučičić, Joško Mandić, Anka Golemac

Publication date: 13 July 2012

Published in: Journal of Combinatorial Designs (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/jcd.20291

zbMATH Keywords

symmetric designprimitive automorphism group

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05)

Related Items (17)

Symmetric designs admitting flag-transitive and point-primitive automorphism groups associated to two dimensional projective special groups ⋮ Almost simple groups of Lie type and symmetric designs with \(\lambda\) prime ⋮ A classification of flag-transitive block designs ⋮ Finite exceptional groups of Lie type and symmetric designs ⋮ Classification of flag-transitive point-primitive non-symmetric 2-\((v, k, \lambda)\) designs with \(v < 100\) ⋮ On some codes from rank 3 primitive actions of the simple Chevalley group \(G_2(q) \) ⋮ On symmetric designs with flag‐transitive and point‐quasiprimitive automorphism groups ⋮ Symmetric designs and projective special linear groups of dimension at most four ⋮ Almost simple groups as flag-transitive automorphism groups of symmetric designs with λ prime ⋮ Symmetric designs and projective special unitary groups $\text{PSU}_{5}(q)$ ⋮ Ternary codes from the strongly regular \((45, 12, 3, 3)\) graphs and orbit matrices of 2-\((45, 12, 3)\) designs ⋮ Symmetric designs and four dimensional projective special unitary groups ⋮ Almost simple groups with socle \(\operatorname{PSp}_4(q)\) as flag-transitive automorphism groups of symmetric designs ⋮ Flag‐Transitive Point‐Primitive Symmetric (ν,κ,λ) Designs With λ at Most 100 ⋮ Flag-transitive primitive (v, k, λ) symmetric designs with λ at most 10 and alternating socle ⋮ On flag-transitive automorphism groups of symmetric designs ⋮ Flag‐Transitive 2‐ Symmetric Designs with Sporadic Socle

Uses Software

• GAP

Cites Work

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• Classification of 2-transitive symmetric designs
• A classification of the maximal subgroups of the finite alternating and symmetric groups
• Symmetric designs form the \(G_2(q)\) generalized hexagons
• The primitive permutation groups of degree less than 2500.
• Finite permutation groups of rank 3
• Regular subgroups of primitive permutation groups
• Primitive symmetric designs with prime power number of points
• Designs derived from permutation groups
• Primitive rank 3 groups on symmetric designs

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