A new existence proof of Fi22 in 2E6(2), a computational approach

DOI10.1080/00927872.2020.1722826zbMath1477.17044OpenAlexW3005623263MaRDI QIDQ5119282

Fatin Alawam, Mashhour Al-Ali Bani-Ata

Publication date: 3 September 2020

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

Full work available at URL: https://doi.org/10.1080/00927872.2020.1722826

zbMATH Keywords

unitary group\(M\)-setsgeneralized quadrangleChevalley grouproot elements3-transportation group

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Generalized quadrangles and generalized polygons in finite geometry (51E12) Lie algebras of linear algebraic groups (17B45) Composition algebras (17A75) Quadratic algebras (but not quadratic Jordan algebras) (17A45)

Related Items (1)

An analog of albert’s Jordan 27-dimensional algebra over a field K of characteristic two and its automorphism group F ₄ (K)

Cites Work

• On the construction of Lie-algebras of type \(E_6(K)\) for fields \(K\) of characteristic two
• Finite groups generated by 3-transpositions. I
• On root-involutions and root-subgroups of E6(K) for fields K of characteristic two
• Unnamed Item

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