Über das Verhalten der Witt-Gruppe bei galoischen Körpererweiterungen

DOI10.1007/BF02052390zbMath0239.13020OpenAlexW2053783210MaRDI QIDQ2553475

Manfred Knebusch, Winfried Scharlau

Publication date: 1971

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/182719

Mathematics Subject Classification ID

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

Related Items

An invariant ideal of a group ring of a finite group, and applications, Hermitian forms over odd dimensional algebras, Quadratic forms under algebraic extensions, Signatures on semilocal rings, A note on Witt rings, Über eine Klasse pythagoreischer Körper, Eine Invariante endlicher Gruppen, On the Witt ring and some arithmetical invariants of quadratic forms, An Invariant Ideal of a Group Ring of a Finite Group. II

Cites Work

• Zur Galoistheorie pythagoreischer Körper
• Zur Pfisterschen Theorie der quadratischen Formen
• Algebraic \(K\)-theory and quadratic forms. With an appendix by J. Tate
• Induction theorems and the structure of the Witt group
• Quadratische Formen über Körpern
• The zero dimensional Galois cohomology of Witt rings
• Round forms over semilocal rings
• Zur Darstellung definiter Funktionen als Summe von Quadraten. (To the representation of definite functions as the sum of squares)
• The prime ideals of Witt rings
• Zur Darstellung von -1 Als Summe von Quadraten in Einem Körper
• Structure of Witt rings, quotients of abelian group rings and orderings of fields
• Quadratic forms over arbitrary fields