Finite classical groups and flag-transitive triplanes

DOI10.1016/j.disc.2009.04.005zbMath1248.05016OpenAlexW2046033865MaRDI QIDQ1044996

Wei Dong Fang, Shenglin Zhou, Huili Dong

Publication date: 15 December 2009

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2009.04.005

zbMATH Keywords

symmetric designspoint-primitive automorphism groupfinite classical groupflag-transitive automorphism groupflag-transitive triplane

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Linear algebraic groups over finite fields (20G40) Combinatorial aspects of finite geometries (05B25) Primitive groups (20B15) General block designs in finite geometry (51E05)

Related Items (17)

3-Homogeneous groups and flag-transitive 6-(v, k, 3) designs ⋮ Symmetric designs admitting flag-transitive and point-primitive automorphism groups associated to two dimensional projective special groups ⋮ Alternating groups and flag-transitive 2-(v, k, 4) symmetric designs ⋮ Alternating groups and flag-transitive triplanes ⋮ Unnamed Item ⋮ On Flag‐Transitive Symmetric Designs of Affine Type ⋮ Affine groups and flag-transitive triplanes ⋮ 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 ⋮ Block-transitive symmetric designs and alternating groups ⋮ Flag-transitive point-primitive 2-\((v,k,4)\) symmetric designs and two dimensional classical groups ⋮ Symmetric designs with \(\lambda \leqslant 10\) admitting flag-transitive and point-primitive almost simple automorphism groups ⋮ Symmetric designs and projective special unitary groups $\text{PSU}_{5}(q)$ ⋮ Symmetric designs and four dimensional projective special unitary groups ⋮ Some infinite families of 2‐designs from PG (n, q) ⋮ Exceptional groups of Lie type and flag-transitive triplanes ⋮ Flag‐Transitive Point‐Primitive Symmetric (ν,κ,λ) Designs With λ at Most 100

Uses Software

• GAP

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• 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
• Imprimitive flag-transitive symmetric designs
• Biplanes with flag-transitive automorphism groups of almost simple type, with exceptional socle of Lie type.
• Flag-transitive symmetric 2-(96,20,4)-designs
• Sporadic groups and flag-transitive triplanes
• Classification of 2-transitive symmetric designs
• A characterization of some locally finite simple groups of Lie type
• Primitive permutation groups of odd degree, and an application to finite projective planes
• The maximal subgroups of the finite 8-dimensional orthogonal groups \(P\Omega ^ +_ 8(q)\) and of their automorphism groups
• Flag-transitivity and primitivity
• Flag-transitive subgroups of Chevalley groups
• Vertex-primitive graphs of order a product of two distinct primes
• On primitivity and reduction for flag-transitive symmetric designs
• Biplanes with flag-transitive automorphism groups of almost simple type, with alternating or sporadic socle.
• Character tables of the association schemes of finite orthogonal groups acting on the nonisotropic points
• On finite linear spaces with almost simple flag-transitive automorphism groups
• The flag-transitive symmetric designs with 45 points, blocks of size 12, and 3 blocks on every point pair
• Biplanes with flag-transitive automorphism groups of almost simple type, with classical socle
• The maximal factorizations of the finite simple groups and their automorphism groups
• The Primitive Permutation Groups of Odd Degree
• On the Orders of Maximal Subgroups of the Finite Classical Groups
• New Constructions of Groups Without Semiregular Subgroups
• On the Overgroups of Irreducible Subgroups of the Finite Classical Groups
• On the Overgroups of Irreducible Subgroups of the Finite Classical Groups
• Primitive rank 3 groups on symmetric designs

This page was built for publication: Finite classical groups and flag-transitive triplanes