The graded Witt group kernel of biquadratic extensions in characteristic two

DOI10.1016/j.jalgebra.2012.07.034zbMath1294.11048OpenAlexW1968460500MaRDI QIDQ1950635

Bill Jacob, Roberto Aravire

Publication date: 13 May 2013

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2012.07.034

zbMATH Keywords

Witt ringquadratic formbilinear formWitt vectorsPfister formWitt groupdifferential formKato cohomologybiquadratic extensionexponent of an algebraindex of algebraIzhboldin's groups

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) Galois cohomology (12G05) Algebraic theory of quadratic forms; Witt groups and rings (11E81) Differential algebra (12H05) Higher symbols, Milnor (K)-theory (19D45) Brauer groups (algebraic aspects) (16K50) Modules of differentials (13N05) Witt vectors and related rings (13F35)

Related Items (5)

Cohomology and graded Witt group kernels for extensions of degree four in characteristic two ⋮ The de Rham Witt complex, cohomological kernels and \(p^{m}\)-extensions in characteristic \(p\) ⋮ The behavior of differential forms under purely inseparable extensions ⋮ Cohomological kernels of non-normal extensions in characteristic two and indecomposable division algebras of index eight ⋮ Cohomological kernels of mixed extensions in characteristic 2

Cites Work

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• Algebraic \(K\)-theory and quadratic forms. With an appendix by J. Tate
• Relative Brauer groups in characteristic 𝑝
• Complexe de de\thinspace Rham-Witt et cohomologie cristalline
• Witt Rings and Brauer Groups Under Multiquadratic Extensions, I
• Division algebras of degree 4 and 8 with involution

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