Finite exceptional groups of Lie type and symmetric designs

DOI10.1016/j.disc.2022.112894OpenAlexW4220913039WikidataQ115354226 ScholiaQ115354226MaRDI QIDQ2142634

Ashraf Daneshkhah, Mohsen Bayat, Seyed Hassan Alavi

Publication date: 27 May 2022

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

Full work available at URL: https://arxiv.org/abs/1702.01257

zbMATH Keywords

symmetric designautomorphism groupgroups of Lie type

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Simple groups: alternating groups and groups of Lie type (20D06) Primitive groups (20B15)

Related Items (7)

Block designs with \(\gcd(r,\lambda)=1\) admitting flag-transitive automorphism groups ⋮ Classification of the non-trivial \(2\)-\((k^2,k, \lambda )\) designs, with \(\lambda |k\), admitting a flag-transitive almost simple automorphism group ⋮ Sporadic simple groups as flag‐transitive automorphism groups of symmetric designs ⋮ 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 with \(\lambda \leqslant 10\) admitting flag-transitive and point-primitive almost simple automorphism groups ⋮ A classification of flag-transitive \(2\)-\((k^2, k, \lambda)\) designs with \(\lambda\mid k\)

Uses Software

• GAP

Cites Work

• Unnamed Item
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• Generalised polygons admitting a point-primitive almost simple group of Suzuki or Ree type
• Symmetric designs admitting flag-transitive and point-primitive automorphism groups associated to two dimensional projective special groups
• Sublattices generated by root differences
• Large subgroups of simple groups.
• Point-primitive generalised hexagons and octagons
• Almost simple groups of Lie type and symmetric designs with \(\lambda\) prime
• Biplanes with flag-transitive automorphism groups of almost simple type, with exceptional socle of Lie type.
• Exceptional groups of Lie type and flag-transitive triplanes
• 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
• Flag transitive automorphism groups of 2-designs with \((r,\lambda)=1\)
• Maximal subgroups of \(G_2(2^n)\)
• Flag-transitive subgroups of Chevalley groups
• Subgroups generated by root elements in groups of Lie type
• Symmetric designs form the \(G_2(q)\) generalized hexagons
• On finite linear spaces with almost simple flag-transitive automorphism groups
• The probability of generating a finite simple group
• Flag-transitive block designs and unitary groups
• A classification of flag-transitive block designs
• Classification of the non-trivial \(2\)-\((v,k,\lambda)\) designs, with \((r,\lambda)=1\) and \(\lambda >1\), admitting a non-solvable flag-transitive automorphism group of affine type
• Flag-transitive block designs with prime replication number and almost simple groups
• Almost simple groups with socle \(\operatorname{PSp}_4(q)\) as flag-transitive automorphism groups of symmetric designs
• The maximal subgroups of \({}^ 2F_ 4(q^ 2)\)
• On a class of doubly transitive groups. II
• Maximal subgroups of exceptional groups of Lie type, finite and algebraic
• Primitive symmetric designs with up to 2500 points
• The maximal subgroups of F₄(2) and its automorphism group
• Primitive Permutation Groups with a Common Suborbit, and Edge-Transitive Graphs
• The Maximal Subgroups of E ₆ (2) and Aut(E ₆ (2))
• The Local Maximal Subgroups of Exceptional Groups of Lie Type, Finite and Algebraic
• The Finite Simple Groups
• The Finite Primitive Permutation Groups of Rank Three
• On the 2-Closures of Finite Permutation Groups
• Maximal subgroups of exceptional algebraic groups
• Subgroups of Maximal Rank in Finite Exceptional Groups of Lie Type
• Symmetric designs admitting flag-transitive and point-primitive almost simple automorphism groups of Lie type
• MAXIMAL SUBGROUPS OF LARGE RANK IN EXCEPTIONAL GROUPS OF LIE TYPE
• On finite subgroups of exceptional algebraic groups
• The maximal subgroups of positive dimension in exceptional algebraic groups
• Simple Subgroups of Large Rank in Groups of Lie Type
• Flag‐Transitive Point‐Primitive Symmetric (ν,κ,λ) Designs With λ at Most 100
• Nonsymmetric 2‐(v,k,λ) designs, with (r,λ)  = 1, admitting a solvable flag‐transitive automorphism group of affine type
• Flag‐Transitive 2‐ Symmetric Designs with Sporadic Socle
• On Flag‐Transitive Symmetric Designs of Affine Type
• On the Overgroups of Irreducible Subgroups of the Finite Classical Groups
• Primitive rank 3 groups on symmetric designs

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