Brauer groups of rational function fields

DOI10.1090/S0273-0979-1979-14658-5zbMath0421.12016OpenAlexW2047096249MaRDI QIDQ3853746

Murray M. Schacher, Burton Fein, Jack Sonn

Publication date: 1979

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0273-0979-1979-14658-5

zbMATH Keywords

Ulm invariantsclassification of Brauer groupsrational function fields over global fields

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Brauer groups of schemes (14F22) Transcendental field extensions (12F20) Galois cohomology (11R34)

Related Items (5)

Brauer groups of algebraic function fields ⋮ Brauer groups of fields of genus zero ⋮ Unnamed Item ⋮ Brauer groups of genus zero extensions of number fields ⋮ Brauer groups and character groups of function fields. II

Cites Work

• Unnamed Item
• Unnamed Item
• Brauer groups and character groups of function fields. II
• Class groups and Brauer groups
• Ulm invariants of the Brauer group of a field
• Ulm invariants of the Brauer group of a field. II
• Construction of number fields with prescribed \(\ell\)-class groups

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