Some unitary groups as Galois groups over \({\mathbb{Q}}\)

DOI10.1016/0021-8693(90)90188-TzbMath0713.12004OpenAlexW2086784629MaRDI QIDQ749616

Gunter Malle

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0021-8693(90)90188-t

zbMATH Keywords

finite unitary groupsGalois realization

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Galois theory (11R32) Inverse Galois theory (12F12)

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A conjecture of Abe-Iiyori and the Ree groups \(^2F_4(q)\). II., The inductive McKay-Navarro condition for the Suzuki and Ree groups and for groups with non-generic Sylow normalizers, Frattini-Einbettungsprobleme über Hilbertkörpern. (Frattini embedding problems over Hilbert fields), 𝑃𝑆𝐿₂(𝑞) and extensions of 𝐐(𝐱)

Cites Work

• Konstruktive Galoistheorie. (Constructive Galois theory)
• Exceptional groups of Lie type as Galois groups.
• The Character Tables for SL(3, q), SU(3, q²), PSL(3, q), PSU(3, q²)
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