Fields for which the projective Schur subgroup is the whole Brauer group

DOI10.1007/BF02785867zbMath1015.16013OpenAlexW2135273054MaRDI QIDQ1852733

Eli Aljadeff, Jack Sonn

Publication date: 26 January 2003

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

Full work available at URL: https://doi.org/10.1007/bf02785867

zbMATH Keywords

Brauer groupsglobal fieldsprojective Schur subgroupsfields of formal power seriesfinitely generated infinite fields

Mathematics Subject Classification ID

Galois cohomology (12G05) Brauer groups (algebraic aspects) (16K50)

Related Items

Projective Schur groups of iterated power series fields.

Cites Work

• Einfache Algebren und projektive Darstellungen über Zahlkörpern
• Projective Schur groups of iterated power series fields.
• Projective Schur algebras of nilpotent type are Brauer equivalent to radical algebras
• Projective Schur algebras have Abelian splitting fields
• On the projective Schur group of a field
• Exponent reduction for radical Abelian algebras
• Relative Brauer groups and 𝑚-torsion
• Exponent reduction for projective Schur algebras
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