A classification of finite locally 2-transitive generalized quadrangles

DOI10.1090/tran/8236zbMath1473.51006arXiv1903.07442OpenAlexW3044463481MaRDI QIDQ4963622

Eric Swartz, John Bamberg, Cai Heng Li

Publication date: 19 February 2021

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.07442

zbMATH Keywords

generalized quadranglesflag-transitivityfnite simple groups

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Generalized quadrangles and generalized polygons in finite geometry (51E12) Primitive groups (20B15) General theory for finite permutation groups (20B05)

Related Items (2)

A classification of finite antiflag-transitive generalized quadrangles ⋮ On finite generalized quadrangles of even order

Uses Software

• GAP
• Magma

Cites Work

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• Generalised quadrangles with a group of automorphisms acting primitively on points and lines
• Large subgroups of simple groups.
• \(s\)-arc-transitive graphs and normal subgroups
• Point-primitive, line-transitive generalised quadrangles of holomorph type
• Normalizers of primitive permutation groups
• On projective and affine planes with transitive collineation groups
• Sur la trialité et certains groupes qui s'en déduisent
• On 2-arc-transitive graphs of order \(kp^{n}\)
• Finite generalized quadrangles
• Groups with a (B,N)-pair of rank 2. I
• Finite distance-transitive generalized polygons
• The Magma algebra system. I: The user language
• The Lunelli-Sce hyperoval in \(\text{PG}(2,16)\)
• Locally 2-arc-transitive complete bipartite graphs
• Finite simple \(3'\)-groups are cyclic or Suzuki groups.
• Locally \(s\)-arc transitive graphs with two different quasiprimitive actions
• The characterization of finite groups with abelian Sylow 2-subgroups
• Generalized Quadrangles and Transitive Pseudo-Hyperovals
• The Maximal Subgroups of the Low-Dimensional Finite Classical Groups
• An O'Nan-Scott Theorem for Finite Quasiprimitive Permutation Groups and an Application to 2-Arc Transitive Graphs
• Characterizing finite locally s-arc transitive graphs with a star normal quotient
• The maximal factorizations of the finite simple groups and their automorphism groups
• The Finite Simple Groups
• Analysing finite locally 𝑠-arc transitive graphs
• Linear Groups with Orders Having Certain Large Prime Divisors
• A classification of finite antiflag-transitive generalized quadrangles
• SIMPLE GROUPS, PRODUCT ACTIONS, AND GENERALIZED QUADRANGLES
• S₃-free 2-fusion systems

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