Frobenius Galois groups over quadratic fields

DOI10.1007/BF02761383zbMath0391.12004MaRDI QIDQ1251254

Jack Sonn

Publication date: 1978

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

zbMATH Keywords

Automorphism Group of Algebraic Number FieldFrobenius GroupQuadratic FieldsRealisation As Galois Groups

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Galois theory (11R32) General structure theorems for groups (20E34) Quadratic extensions (11R11)

Related Items

Algebraic number fields ⋮ Double covers of \(S_5\) and Frobenius groups as Galois groups over number fields ⋮ Q-admissibility of solvable groups ⋮ Arithmetik in Frobeniuserweiterungen

Cites Work

• Unramified extensions of quadratic number fields. II
• On unramified Galois extensions of quadratic number fields
• Über das Einbettungsproblem der algebraischen Zahlentheorie
• On the problem of imbedding fields
• Construction of fields of algebraic numbers with given solvable Galois group
• FINITE GROUPS WITH FIXED-POINT-FREE AUTOMORPHISMS OF PRIME ORDER
• Endliche Gruppen I
• On the automorphisms of the classical groups. With a supplement by Loo-Keng Hua
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