The Kneser-Tits conjecture for groups with Tits-index \textsf{E}\(_{8,2}^{66}\) over an arbitrary field.

DOI10.1007/s00031-011-9165-2zbMath1251.20045arXiv1008.1868OpenAlexW2470629522WikidataQ123181221 ScholiaQ123181221MaRDI QIDQ430780

Jean-Pierre E. Tignol, Richard M. Weiss, Raman Parimala

Publication date: 26 June 2012

Published in: Transformation Groups (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.1868

zbMATH Keywords

absolutely simple algebraic groupsanisotropic quadratic formsKneser-Tits conjectureTits indices

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Algebraic theory of quadratic forms; Witt groups and rings (11E81) Galois cohomology of linear algebraic groups (11E72)

Related Items

Albert algebras and the Tits-Weiss conjecture, On \(R\)-triviality of \(F_4\), $E_8$, the most exceptional group, Automorphisms of Albert algebras and a conjecture of Tits and Weiss II, A new construction of Moufang quadrangles of type 𝐸₆,𝐸₇ and 𝐸₈

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the Kneser-Tits problem
• Examples of non-rational varieties of adjoint groups
• \(R\)-equivalence and rationality problem for semisimple adjoint classical algebraic groups
• A characterization of quadratic forms of type \(E_6\), \(E_7\), and \(E_8\)
• Algebraic and abstract simple groups
• Groupes reductifs
• Automorphisms of Albert algebras and a conjecture of Tits and Weiss
• Kneser–Tits for a rank 1 form of $E_6$ (after Veldkamp)
• Generic Splitting of Quadratic Forms, II
• Représentations linéaires irréductibles d'un groupe réductif sur un corps quelconque.
• Linear algebraic groups.
• Quadratic forms over arbitrary fields
• Hermitian analogue of a theorem of Springer