Exceptional groups of Lie type and flag-transitive triplanes

DOI10.1007/s11425-009-0051-5zbMath1227.05079OpenAlexW1970998587WikidataQ115378338 ScholiaQ115378338MaRDI QIDQ963696

Shenglin Zhou, Huili Dong

Publication date: 13 April 2010

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-009-0051-5

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Combinatorial aspects of finite geometries (05B25)

Related Items

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 ⋮ Finite exceptional groups of Lie type and symmetric designs ⋮ Unnamed Item ⋮ On Flag‐Transitive Symmetric Designs of Affine Type ⋮ Symmetric designs admitting flag-transitive and point-primitive almost simple automorphism groups of Lie type ⋮ Affine groups and flag-transitive triplanes ⋮ 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 ⋮ Some infinite families of 2‐designs from PG (n, q) ⋮ 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
• Imprimitive flag-transitive symmetric designs
• Unsolvable block transitive automorphism groups of \(2\)-\((v,5,1)\) 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
• Finite classical groups and flag-transitive triplanes
• Primitive permutation groups of odd degree, and an application to finite projective planes
• Flag-transitivity and primitivity
• The maximal subgroups of the Steinberg triality groups \(3D_ 4(q)\) and their automorphism groups
• The maximal subgroups of the Chevalley groups \(G_ 2(q)\) with q odd, the Ree groups \(2G_ 2(q)\), and their automorphism groups
• Maximal subgroups of \(G_2(2^n)\)
• Flag-transitive subgroups of Chevalley groups
• 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
• The maximal subgroups of \({}^ 2F_ 4(q^ 2)\)
• 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
• The Finite Primitive Permutation Groups of Rank Three
• On the Overgroups of Irreducible Subgroups of the Finite Classical Groups

This page was built for publication: Exceptional groups of Lie type and flag-transitive triplanes