Brauer groups of fields

DOI10.1080/00927878308822983zbMath0555.13001OpenAlexW1998200807MaRDI QIDQ3218221

Alexander S. Merkurjev

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1080/00927878308822983

zbMATH Keywords

Brauer groups of fieldsclasses of cyclic algebras of degree pelements of exponent p

Mathematics Subject Classification ID

Galois cohomology (12G05) Brauer groups of schemes (14F22)

Related Items (19)

Henselian valued quasi-local fields with totally indivisible value groups ⋮ Galois cohomology of fields without roots of unity ⋮ Division Algebras with Radicable Multiplicative Groups ⋮ A Criterion for the Triviality ofG(D) and Its Applications to the Multiplicative Structure ofD ⋮ Fields whose torsion free parts divisible with trivial Brauer group ⋮ On Brauer \(p\)-dimensions and index-exponent relations over finitely-generated field extensions. ⋮ Henselian discrete valued stable fields ⋮ All dihedral division algebras of degree five are cyclic ⋮ Tame division algebras of prime period over function fields of \(p\)-adic curves. ⋮ Demuškin groups of rank \(\aleph{}_ 0\) as absolute Galois groups ⋮ Radicability condition on GLn(D) ⋮ On the residue fields of Henselian valued stable fields ⋮ Principal ideals in mod-\(\ell \) Milnor \(K\)-theory ⋮ Open problems on central simple algebras. ⋮ Tori associated to a quartic étale algebra ⋮ ONK₂OF DIVISION ALGEBRAS ⋮ Henselian valued stable fields ⋮ A note on the existence of cyclic algebras in division algebras ⋮ On maximal subgroups of the multiplicative group of a division algebra.

Cites Work

• Cohomologische Invarianten quadratischer Formen
• Brauer groups of fields algebraic over Q
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