A New Construction of Noncrossed Product Algebras

DOI10.2307/2000032zbMath0597.16016OpenAlexW4239299439MaRDI QIDQ3729104

Bill Jacob, Adrian R. Wadsworth

Publication date: 1986

Full work available at URL: https://doi.org/10.2307/2000032

zbMATH Keywords

Galois cohomologyBrauer groupscentralsimple algebrasnoncrossed product division algebraslocal-global principlesvalued fieldsgeneric division algebrasintersections of p-Henselian

Mathematics Subject Classification ID

Galois cohomology (12G05) Skew fields, division rings (12E15) Valued fields (12J10) Division rings and semisimple Artin rings (16Kxx)

Related Items

Galois subfields of tame division algebras., A recursive description of pro-\(p\) Galois groups, Extensions of Valuation Rings in Central Simple Algebras, Totally Ramified Valuations on Finite-Dimensional Division Algebras, Compatible valuations and generalized Milnor 𝐾-theory, \(p\)-Henselian fields, Hasse invariant for the tame Brauer group of a higher local field, A recursive description of the maximal pro-2 Galois group via Witt rings, The Henselization of a valued division algebra, Value functions on simple Artinian rings, Baer orderings with noninvariant valuation ring, On decomposing c-valued division rings, On the tensor product of division algebras, Indecomposable Division Algebras, Open problems on central simple algebras., Noncrossed Product Division Algebras with a Baer Ordering, A Hasse principle for function fields over PAC fields, On graphs and valuations., Value Functions on Central Simple Algebras, Division algebras over Henselian fields., Finitely generated pro-\(p\) Galois groups of \(p\)-Henselian fields, On maximal subgroups of the multiplicative group of a division algebra., On Galois groups over Pythagorean and semi-real closed fields

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Division algebra counterexamples of degree 8
• Totally ramified splitting fields of central simple algebras over Henselian fields
• Cyclic and elementary abelian subfields of Malcev-Neumann division algebras
• On the structure of Pythagorean fields
• Characterization of fans and hereditarily pythagorean fields
• Relations between \(K_2\) and Galois cohomology
• Cyclic algebras, complete fields, and crossed products
• Noncrossed product p-algebras and Galois p-extensions
• Galois Cohomology
• p-Henselian fields: K-theory, Galois cohomology, and graded Witt rings
• Über die Brauer-Gruppe eines Hensel-Körpers
• Algebraic \(K\)-theory and quadratic forms. With an appendix by J. Tate
• A subgroup theorem for free products of pro-finite groups
• On central division algebras
• Freie Produkte pro-endlicher Gruppen und ihre Kohomologie
• Noncrossed products in characteristic \(p\).
• Valuation theory
• Totally Ramified Valuations on Finite-Dimensional Division Algebras
• $ K$-COHOMOLOGY OF SEVERI-BRAUER VARIETIES AND THE NORM RESIDUE HOMOMORPHISM
• On the differentials in the Lyndon-Hochschild-Serre spectral sequence
• Noncrossed Products of Small Exponent
• Indecomposable division algebras
• Profinite Groups, Arithmetic, and Geometry. (AM-67)