An Azumaya Algebra Version of the Kneser–Tits Problem for Groups of TypeD4

DOI10.1080/00927870903447221zbMath1216.20040OpenAlexW2000923972MaRDI QIDQ3081515

Uzi Vishne, Yoav Segev, David J. Saltman, Louis Halle Rowen

Publication date: 8 March 2011

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

Full work available at URL: https://doi.org/10.1080/00927870903447221

zbMATH Keywords

Azumaya algebrassimple connected isotropic simple algebraic groups

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05)

Cites Work

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• Normal subgroups generated by a single pure element in quaternion algebras.
• On the Kneser-Tits problem
• Algebraic and abstract simple groups
• Symmetric bilinear forms and quadratic forms
• Kneser–Tits for a rank 1 form of $E_6$ (after Veldkamp)

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