Subfields of division rings. I

DOI10.1016/0021-8693(68)90015-XzbMath0174.34103WikidataQ106045640 ScholiaQ106045640MaRDI QIDQ2532645

Murray M. Schacher

Publication date: 1968

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

zbMATH Keywords

number theory

Related Items (48)

\(\tilde A_5\) and \(\tilde A_7\) are Galois groups over number fields ⋮ Examples of some \({\mathbb{Q}}\)-admissible groups ⋮ Produits croisés mixtes: extensions de groupes et extensions d'anneaux ⋮ \({\mathbb{Q}}\)-admissibility of certain nonsolvable groups ⋮ Division algebra subfields introduced by an indeterminate ⋮ Double covers of \(S_5\) and Frobenius groups as Galois groups over number fields ⋮ Q-admissibility of sylow-metacyclic groups as quotient group ⋮ Double covers of the symmetric groups as Galois groups over number fields ⋮ Explicit methods for the Hasse norm principle and applications toA_nandS_nextensions ⋮ Embedding problems with local conditions and the admissibility of finite groups ⋮ Admissibility and field relations ⋮ The admissibility of \(A_5\) ⋮ Zur Arithmetik von Diedergruppenerweiterungen ⋮ Rational division algebras as solvable crossed products ⋮ A generalization of \({\mathbb{Q}}\)-admissibility ⋮ Zur Arithmetik von Konjugationsklassen in algebraischen Gruppen ⋮ Unnamed Item ⋮ Sylow-metacyclic groups and Q-admissibility ⋮ SOLVABLE CROSSED PRODUCT ALGEBRAS REVISITED ⋮ \(\mathbb Q\)-admissibility questions for alternating groups ⋮ Unnamed Item ⋮ \(K\)-admissibility of \(A_ 6\) and \(A_ 7\) ⋮ Patching subfields of division algebras ⋮ Sums of corestrictions of cyclic algebras ⋮ The admissibility of \(M_{11}\) over number fields ⋮ The \(K\)-admissibility of \(2A_ 6\) and \(2A_ 7\) ⋮ Frattini closed groups and adequate extensions of global fields. ⋮ Open problems on central simple algebras. ⋮ \(\mathbb{Q}\)-adequacy of Galois 2-extensions ⋮ Division algebras with \(\text{PSL} (2,q)\)-Galois maximal subfields ⋮ On metacyclic subgroups of finite groups ⋮ Q-admissibility of solvable groups ⋮ Cyclic algebras, complete fields, and crossed products ⋮ Generic Abelian crossed products and \(p\)-algebras ⋮ On the norm groups of global fields ⋮ Subfields of division rings. II ⋮ Polynomials without roots in division algebras ⋮ Zero Divisors in Tensor Products of Division Algebras ⋮ Stability: Index and Order in the Brauer Group ⋮ Solutions of pure equations in rational division algebras. I ⋮ Embedding finite groups in rational division algebras. I ⋮ Solutions of pure equations in rational division algebras. II ⋮ Restrictions on endomorphism rings of Jacobians and their minimal fields of definition ⋮ Noncrossed products in characteristic \(p\). ⋮ Embedding Problems of Division Algebras ⋮ \(\operatorname {SL}(2,11)\) is \({\mathbb Q}\)-admissible ⋮ On the admissibility of finite groups over global fields of finite characteristic ⋮ On equivalence of number fields

Cites Work

• Théoremes de finitude en cohomologie galoisienne
• On \(p\)-adic fields and rational division algebras
• On Grunwald's theorem
• The generality of local class field theory (Generalized local class field theory. V.)
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