An essay on the Ree octagons

DOI10.1023/A:1022481514132zbMath0823.51008OpenAlexW137540981MaRDI QIDQ1804247

Michael Joswig, Van Maldeghem, Hendrik

Publication date: 11 May 1995

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1022481514132

zbMATH Keywords

coordinatizationbuildingRee groupsMoufang generalized octagons

Mathematics Subject Classification ID

Generalized quadrangles and generalized polygons in finite geometry (51E12) Combinatorial aspects of finite geometries (05B25) Buildings and the geometry of diagrams (51E24) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items

The non-existence of certain regular generalized polygons, Epimorphisms of generalized polygons. B: The octagons, On a 25-dimensional embedding of the Ree–Tits generalized octagon, The uniqueness of a certain generalized octagon of order \((2, 4)\), Simple groups of finite Morley rank and Tits buildings

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The geometry of root subgroups in Ree groups of type \(^ 2F_ 4\)
• Generalized polygons with valuation
• Algebraic properties of quadratic quaternary rings
• Ovoides et groupes de Suzuki
• Buildings of spherical type and finite BN-pairs
• Non-existence de certains polygones généralises. I
• The nonexistence of certain Moufang polygons
• On finite Moufang polygons
• A configurational characterization of the Moufang generalized polygons
• The nonexistence of certain generalized polygons
• The Nonexistence of Certain Topological Polygons
• Moufang Octagons and the Ree Groups of Type 2 F 4
• A restriction on the parameters of a suboctagon