A simple construction of the Ree groups of type \(^2F_4\).

DOI10.1016/j.jalgebra.2009.11.015zbMath1206.20015OpenAlexW2038636116MaRDI QIDQ965163

Robert A. Wilson

Publication date: 21 April 2010

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2009.11.015

zbMATH Keywords

finite simple groupsgroups of Lie typeRee groupsgeneralized octagons

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Generalized quadrangles and generalized polygons in finite geometry (51E12) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (1)

Another new approach to the small Ree groups.

Cites Work

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• A 51-dimensional embedding of the Ree-Tits generalized octagon
• The maximal subgroups of \({}^ 2F_ 4(q^ 2)\)
• Algebraic structure of the perfect Ree-Tits generalized octagon
• A family of simple groups associated with the simple lie algebra of type (𝐹₄)
• A new approach to the Suzuki groups
• A new construction of the Ree groups of type ²G₂
• Moufang Octagons and the Ree Groups of Type 2 F 4
• On a 25-dimensional embedding of the Ree–Tits generalized octagon
• Constructions for octonion and exceptional Jordan algebras
• Matrix generators for exceptional groups of Lie type

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