Fields of characteristic 2 with prescribed u-invariants

DOI10.1007/BF01459240zbMath0713.12002OpenAlexW1979071986MaRDI QIDQ749614

Pasquale Mammone, Jean-Pierre E. Tignol, Adrian R. Wadsworth

Publication date: 1991

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

Full work available at URL: https://eudml.org/doc/164813

zbMATH Keywords

u-invariantfield of characteristic 2

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) General field theory (12E99)

Related Items

Isotropy of quadratic forms over the function field of a quadric in characteristic 2 ⋮ Total linkage of quaternion algebras and Pfister forms in characteristic two ⋮ Involutions of a Clifford Algebra Induced by Involutions of Orthogonal Group in Characteristic 2 ⋮ Kato-Milne cohomology and polynomial forms ⋮ Quadratic forms and Pfister neighbors in characteristic 2 ⋮ Totally decomposable quadratic pairs ⋮ Generalised quadratic forms and the \(u\)-invariant ⋮ Some invariants of a field of characteristic 2 associated to the \(\hat{u}\)-invariant ⋮ Essential Dimension, Symbol Length and -rank ⋮ The $u^n$-invariant and the symbol length of $H_2^n(F)$ ⋮ Similarity of quadratic forms over global fields in characteristic 2 ⋮ Quadratic Forms ⋮ Galois cohomology of the classical groups over imperfect fields ⋮ On constant-trace representations of degenerate Clifford algebras ⋮ \(u\)-invariants of fields of characteristic 2 ⋮ Isotropy of 5-dimensional quadratic forms over the function field of a quadric in characteristic 2 ⋮ On splitting of totally singular quadratic forms ⋮ The second trace form of a central simple algebra of degree 4 of characteristic 2. ⋮ Certain quadratic forms of dimension at most 6 and function fields of characteristic 2 ⋮ On the \(u\)-invariant for quadratic forms and the linkage of cyclic algebras ⋮ Symbol length of p-algebras of prime exponent

Cites Work

• Unnamed Item
• K-theory of quadric hypersurfaces
• Quadratic forms over semilocal rings
• A field of characteristic 2 withu-invariant 6
• Comparing u-invariants of fields of characteristic 2
• On a class of fields admitting only cyclic extensions of prime power degree
• The Sequential Design of Experiments for Infinitely Many States of Nature