The de Rham Witt complex, cohomological kernels and \(p^{m}\)-extensions in characteristic \(p\)

DOI10.1016/j.jpaa.2018.02.013zbMath1446.11062OpenAlexW2792307205MaRDI QIDQ1651491

Manuel O'Ryan, Roberto Aravire, Bill Jacob

Publication date: 12 July 2018

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2018.02.013

zbMATH Keywords

Izhboldin groupsde Rham Witt complexBrauer kernel

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Galois cohomology (12G05) Algebraic theory of quadratic forms; Witt groups and rings (11E81) Finite-dimensional division rings (16K20) Witt vectors and related rings (13F35)

Related Items (6)

Symbol length of classes in Milnor 𝐾-groups ⋮ Common splitting fields of symbol algebras ⋮ On the Rost divisibility of henselian discrete valuation fields of cohomological dimension 3 ⋮ Essential Dimension, Symbol Length and -rank ⋮ Cohomological kernels of non-normal extensions in characteristic two and indecomposable division algebras of index eight ⋮ Cohomological kernels of purely inseparable field extensions

Cites Work

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• Galois cohomology of fields without roots of unity
• The graded Witt group kernel of biquadratic extensions in characteristic two
• All dihedral division algebras of degree five are cyclic
• Relative Brauer groups in characteristic 𝑝
• Complexe de de\thinspace Rham-Witt et cohomologie cristalline
• Dihedral Algebras are Cyclic
• On the de Rham–Witt complex in mixed characteristic

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