Covering groups of almost simple groups as Galois groups over \(\mathbb{Q}^{ab}(t)\)

DOI10.1007/BF02937315zbMath0893.12005OpenAlexW2080738683MaRDI QIDQ677422

Gunter Malle, Jack Sonn

Publication date: 11 June 1997

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02937315

zbMATH Keywords

sporadic groupsGalois groupsexceptional groups of Lie typecovering groupsalmost simple groupsfinite classical groupscentral embedding problem

Mathematics Subject Classification ID

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

Related Items (1)

Covering groups of \(M_{22}\) as regular Galois groups over \(\mathbb{Q} \)

Cites Work

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• Rational rigidity and the sporadic groups
• Konstruktive Galoistheorie. (Constructive Galois theory)
• Certain orthogonal and symplectic groups as Galois groups over \(\mathbb{Q}\)
• Generation of classical groups
• Brauer groups, embedding problems, and nilpotent groups as Galois groups
• Rigidity and embedding problems over \(\mathbb{Q}_{ab}(t)\)
• Exceptional groups of Lie type as Galois groups.
• Inverse Galois Theory
• Endliche Gruppen I

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