Almost simple groups of Lie type and symmetric designs with \(\lambda\) prime

DOI10.37236/9366zbMath1464.05020arXiv2002.04948OpenAlexW3164298536WikidataQ115220234 ScholiaQ115220234MaRDI QIDQ831341

Mohsen Bayat, Ashraf Daneshkhah, Seyed Hassan Alavi

Publication date: 11 May 2021

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.04948

zbMATH Keywords

\((v,k,\lambda)\)-designsflag-transitive groupspoint-primitive automorphism groups

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) Combinatorial aspects of algebraic geometry (05E14)

Related Items (3)

A classification of flag-transitive block designs ⋮ Finite exceptional groups of Lie type and symmetric designs ⋮ Almost simple groups as flag-transitive automorphism groups of symmetric designs with λ prime

Uses Software

• GAP

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.
• Primitive parabolic permutation representations of finite special linear and unitary groups.
• Imprimitive flag-transitive symmetric designs
• Classification of 2-transitive symmetric designs
• Primitive permutation groups of odd degree, and an application to finite projective planes
• Flag-transitive subgroups of Chevalley groups
• Symmetric designs and four dimensional projective special unitary groups
• On finite linear spaces with almost simple flag-transitive automorphism groups
• Affine groups and flag-transitive triplanes
• Flag-transitive block designs and unitary groups
• A classification of flag-transitive block designs
• Reduction for primitive flag-transitive symmetric \(2\)-\(( v , k , \lambda )\) designs with \(\lambda\) prime
• Flag-transitive block designs with prime replication number and almost simple groups
• The flag-transitive symmetric designs with 45 points, blocks of size 12, and 3 blocks on every point pair
• Flag-transitive point-primitive symmetric designs and three dimensional projective special linear groups
• Biplanes with flag-transitive automorphism groups of almost simple type, with classical socle
• The Maximal Subgroups of the Low-Dimensional Finite Classical Groups
• Primitive symmetric designs with up to 2500 points
• Classification of flag-transitive symmetric designs
• The Rank 3 Permutation Representations of the Finite Classical Groups
• The Primitive Permutation Groups of Odd Degree
• On the Overgroups of Irreducible Subgroups of the Finite Classical Groups
• Primitive rank 3 groups on symmetric designs

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