A geometric characterization of Moufang hexagons

DOI10.1007/BF01418928zbMath0429.51002OpenAlexW1983725539MaRDI QIDQ1137778

Mark A. Ronan

Publication date: 1980

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142709

zbMATH Keywords

generalized hexagonMoufang hexagon

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Other designs, configurations (05B30) Configuration theorems in linear incidence geometry (51A20) Non-Desarguesian affine and projective planes (51A35)

Related Items (27)

Half-regular and regular points in compact polygons ⋮ Finite distance-transitive generalized polygons ⋮ Half-Moufang generalized hexagons. ⋮ The non-existence of certain regular generalized polygons ⋮ Apartments and the cayley-algebra module for G₂(k) ⋮ A combinatorial characterization of some finite classical generalized hexagons ⋮ Partial linear spaces built on hexagons ⋮ Automorphisms and opposition in spherical buildings of exceptional type. II: Moufang hexagons ⋮ The combinatorics of automorphisms and opposition in generalised polygons ⋮ A note on the \(^3D_4(q)\) generalized hexagons ⋮ A remark on the theorem of Yanushka and Ronan characterizing the generalized hexagon H(q) arising from the group \(G_ 2(\)q) ⋮ Intransitive geometries and fused amalgams ⋮ Unnamed Item ⋮ On central root automorphisms of finite generalised hexagons ⋮ Groups generated by \(k\)-root subgroups ⋮ Finite groups ⋮ Codes from generalized hexagons ⋮ Embeddings and hyperplanes of discrete geometries ⋮ A configurational characterization of the Moufang generalized polygons ⋮ Embeddings of small generalized polygons ⋮ Algebraic Codes and Geometry of Some Classical Generalized Polygons ⋮ Abstract root subgroups and quadratic action. With an Appendix by A. E. Zalesskii ⋮ Simple groups of finite Morley rank and Tits buildings ⋮ Some combinatorial and geometric characterizations of the finite dual classical generalized hexagons ⋮ Connectedness of opposite-flag geometries in Moufang polygons ⋮ Symmetric designs form the \(G_2(q)\) generalized hexagons ⋮ Moufang polygons and irreducible spherical BN-pairs of rank 2. I

Cites Work

• Composition algebras and their automorphisms
• Sur la trialité et certains groupes qui s'en déduisent
• Buildings of spherical type and finite BN-pairs
• Groups with a (B,N)-pair of rank 2. I
• Generalized hexagons of order \((t,t)\)
• Non-existence de certains polygones généralises. I
• On the foundations of polar geometry
• The nonexistence of certain generalized polygons
• Groups with Steinberg relations and coordinatization of polygonal geometries

This page was built for publication: A geometric characterization of Moufang hexagons