On root-involutions and root-subgroups of E6(K) for fields K of characteristic two

DOI10.1142/S0219498819500178zbMath1467.17006MaRDI QIDQ5376496

Shuaa Aldhafeeri, Mashhour Al-Ali Bani-Ata

Publication date: 10 May 2019

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

\(M\)-setsgeneralized quadrangleChevalley groupsroot-subgroups\(E\)-setsroot-involutionssymmetric linear forms

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Exceptional (super)algebras (17B25) Lie algebras of linear algebraic groups (17B45)

Related Items (6)

An analog of albert’s Jordan 27-dimensional algebra over a field K of characteristic two and its automorphism group F ₄ (K) ⋮ A new existence proof of Fi22 in 2E6(2), a computational approach ⋮ Unnamed Item ⋮ The stabilizer of two-dimensional vector space of 27-dimensional module of type E6 over a field of characteristic two ⋮ A geometry of the generalized quadrangle (Ω,𝔏) of type O6−(2) and Lie algebras of type E6 with characteristic two ⋮ Unnamed Item

Cites Work

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• Subgroups of the group \(E_6(q)\) which are generated by root subgroups
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• On the construction of Lie-algebras of type \(E_6(K)\) for fields \(K\) of characteristic two
• Some Groups of Transformations defined by Jordan Algebras. I.
• The 27-Dimensional Module for E 6 , III
• The 27-Dimensional Module for E₆ , II
• ON CERTAIN HYPERALGEBRAIC STRUCTURES
• Some groups of transformations defined by Jordan algebras. II. Groups of type F4.
• Some groups of Transformations defined by Jordan Algebras. III. Groups of Type E61.
• The Exceptional Simple Lie Algebras F ₄ and E ₆

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