Classical groups as flag-transitive automorphism groups of 2-designs with \(\lambda = 2\)

DOI10.1016/J.JCTA.2024.105892zbMATH Open1540.05025MaRDI QIDQ6543053

Marjan Tadbirinia, Seyed Hassan Alavi, M. Bayat, Ashraf Daneshkhah

Publication date: 24 May 2024

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

zbMATH Keywords

automorphism group2-designflag-transitivepoint-primitivefinite simple group

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Other designs, configurations (05B30) Simple groups: alternating groups and groups of Lie type (20D06) Representations of finite groups of Lie type (20C33)

Cites Work

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• Symmetric designs admitting flag-transitive and point-primitive automorphism groups associated to two dimensional projective special groups
• Large subgroups of simple groups.
• Flag-transitive point-primitive non-symmetric \(2\text{-}(v,k,2)\) designs with alternating socle
• Distance-transitive representations of groups G with \(PSL_ 2(q)\trianglelefteq G\leq P\Gamma L_ 2(q)\)
• On the maximal subgroups of the finite classical groups
• Homogeneous designs and geometric lattices
• Biplanes and near biplanes
• 3-designs from \(\text{PSL}(2,q)\)
• Linear spaces with flag-transitive automorphism groups
• Biplanes with flag-transitive automorphism groups of almost simple type, with exceptional socle of Lie type.
• Classification of 2-transitive symmetric designs
• The maximal subgroups of the finite 8-dimensional orthogonal groups \(P\Omega ^ +_ 8(q)\) and of their automorphism groups
• Flag-transitive subgroups of Chevalley groups
• Minimal degree for a permutation representation of a classical group
• Vertex-primitive graphs of order a product of two distinct primes
• Finite linear spaces admitting a two-dimensional projective linear group
• On primitivity and reduction for flag-transitive symmetric designs
• Biplanes with flag-transitive automorphism groups of almost simple type, with alternating or sporadic socle.
• On finite linear spaces with almost simple flag-transitive automorphism groups
• On flag-transitive \(2\)-\((v,k,2)\) designs
• Flag-transitive block designs and unitary groups
• Correction to: ``Flag-transitive block designs and unitary groups
• A classification of flag-transitive block designs
• Block designs with \(\gcd(r,\lambda)=1\) admitting flag-transitive automorphism groups
• Biplanes with flag-transitive automorphism groups of almost simple type, with classical socle
• Flag-transitive point-primitive automorphism groups of nonsymmetric 2-\((v,k,2)\) designs
• The maximal subgroups of the low-dimensional finite classical groups.
• On the maximum orders of elements of finite almost simple groups and primitive permutation groups
• Classification of flag-transitive symmetric designs
• On the Orders of Maximal Subgroups of the Finite Classical Groups
• On the 2-Closures of Finite Permutation Groups
• On the Overgroups of Irreducible Subgroups of the Finite Classical Groups
• A classification of 2-designs with prime replication numbers and flag-transitive automorphism groups

Related Items (2)

Designs with a simple automorphism group ⋮ A classification of the flag-transitive \(2\)-\((v,k,2)\) designs

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