On solvable number fields
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Publication:1146223
DOI10.1007/BF01390030zbMath0447.12008OpenAlexW2143407288MaRDI QIDQ1146223
Publication date: 1979
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/142659
Related Items
Algebraic number fields ⋮ Multiplicative field invariants ⋮ Unnamed Item ⋮ On multiplicities for \(\text{SL}(n)\) ⋮ Specialization results and ramification conditions ⋮ Bad places for the approximation property for finite groups ⋮ On the embedding problem with noncommutative kernel of order \(p^4\). VI ⋮ Embedding problems with bounded ramification over function fields of positive characteristic ⋮ Embedding problems with local conditions and the admissibility of finite groups ⋮ Admissibility and field relations ⋮ On the Iwasawa algebra for pro-\(l\) Galois groups ⋮ On the Galois-Gauss sums of weakly ramified characters ⋮ The Grunwald problem and approximation properties for homogeneous spaces ⋮ Hilbert irreducibility, the Malle conjecture and the Grunwald problem ⋮ Supersolvable descent for rational points ⋮ Non-rational varieties with the Hilbert Property ⋮ Rational division algebras as solvable crossed products ⋮ ON THE GALOIS STRUCTURE OF ARITHMETIC COHOMOLOGY I: COMPACTLY SUPPORTED -ADIC COHOMOLOGY ⋮ A generalization of \({\mathbb{Q}}\)-admissibility ⋮ Profinite Frobenius groups and related imbedding problems ⋮ Twisted multiplicative field invariants, Noether's problem, and Galois extensions ⋮ Quelques propriétés d’approximation reliées à la cohomologie galoisienne d’un groupe algébrique fini ⋮ Sylow-metacyclic groups and Q-admissibility ⋮ Weak approximation property and Hasse principle fo homogeneous spaces with finite solvable stabilizer ⋮ Zéro-cycles sur les espaces homogènes et problème de Galois inverse ⋮ A note on Galois groups and local degrees ⋮ Wang counterexamples lead to noncrossed products ⋮ Imbedding problem with non-Abelian kernel of order \(p^ 4\) ⋮ On the relative Galois module structure of rings of integers in tame extensions ⋮ Non-ramified Brauer group of homogeneous spaces with finite stabilisers ⋮ Galois covers and the Hilbert-Grunwald property ⋮ Q-admissibility of solvable groups ⋮ On the imbedding problem with noncommutative kernel of order \(p^ 4\). III ⋮ On refined metric and Hermitian structures in arithmetic. I: Galois-Gauss sums and weak ramification ⋮ On the Northcott property and local degrees ⋮ Embedding problems with bounded ramification over global fields of positive characteristic ⋮ Arithmetik in Frobeniuserweiterungen ⋮ Embedding problems with local conditions ⋮ Solutions explicites de problèmes de plongement. (Explicit solutions of imbedding problems)
Cites Work
- Zur Existenz eigentlicher galoisscher Körper beim Einbettungsproblem für galoissche Algebren
- Zur Theorie der nilpotenten algebraischen Zahlkörper
- Über das Einbettungsproblem der algebraischen Zahlentheorie
- Konstruktion algebraischer Zahlkörper mit beliebiger Gruppe von Primzahlpotenzordnung. I
- Einige Klassen von endlichen GALOIS-Moduln mit HASSE-Prinzip
- Zum Einbettungsproblem.
- Einbettungsprobleme mit lokaler Vorgabe und freie Produkte lokaler Galoisgruppen.
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