Generalized quadrangles of order \((s, s^2)\). IV. Translations, Moufang and Fong-Seitz

DOI10.1016/j.disc.2023.113641zbMath1530.51001arXiv2205.15260OpenAlexW4386041165MaRDI QIDQ6056735

Joseph A. Thas

Publication date: 4 October 2023

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

Full work available at URL: https://arxiv.org/abs/2205.15260

zbMATH Keywords

projective spacetranslationgeneralized quadrangleMoufanggeneralized ovoidFong and Seitz theorem

Mathematics Subject Classification ID

Generalized quadrangles and generalized polygons in finite geometry (51E12)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• An essay on skew translation generalized quadrangles
• Half Moufang implies Moufang for finite generalized quadrangles
• Finite generalized quadrangles
• Some generalized quadrangles with parameters \(q^ 2,q\)
• Generalized quadrangles and flocks of cones
• Groups with a (B,N)-pair of rank 2. I
• Groups with a (B,N)-pair of rank 2. II
• A class of translation planes
• Generalized quadrangles of order \((s,s^2)\). III
• Generalized quadrangles of order \((s,s^ 2)\). I
• Flocks, ovoids of \(Q(4,q)\) and designs
• Generalized quadrangles of order \((s,s^ 2)\). II
• Finite groups with a split BN-pair of rank 1. I
• General Galois Geometries
• Half-Moufang implies Moufang for generalized quadrangles
• An algebraic structure for Moufang quadrangles
• EGGS IN ${\rm PG}(4n - 1, q), q$ EVEN, CONTAINING A PSEUDO-CONIC
• On a class of doubly transitive groups