A characterization of C-fields via Galois groups

DOI10.1016/0021-8693(91)90078-MzbMath0726.12002OpenAlexW1991344551MaRDI QIDQ802669

Mináč, Ján, Tara L. Smith

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1016/0021-8693(91)90078-m

zbMATH Keywords

quadratic formGalois extensionquaternion algebraBrauer grouplevelC-fields

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) Separable extensions, Galois theory (12F10) Algebraic theory of quadratic forms; Witt groups and rings (11E81)

Related Items (5)

On Steinitz classes, realizable Galois module classes and embedding problems for non-abelian extensions of degree a power of 2 ⋮ On the computation of the trace form of some Galois extensions ⋮ HT90 and ``simplest number fields ⋮ Unramified quaternion extensions of quadratic number fields ⋮ Automatic realizability of Galois groups of order 16

Cites Work

• Unnamed Item
• Formally real fields, pythagorean fields, C-fields and W-groups
• On the Clifford-Littlewood-Eckmann groups: A new look at periodicity mod 8
• A recursive description of the maximal pro-2 Galois group via Witt rings
• When are Witt rings group rings? II
• Quadratic forms and profinite 2-groups
• Witt rings and Galois groups
• Orthogonal representations of Galois groups, Stiefel-Whitney classes and Hasse-Witt invariants.

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