Transfer in Galois cohomology commutes with transfer in the Milnor ring

DOI10.1016/0022-4049(82)90079-2zbMath0476.18008OpenAlexW2050847427MaRDI QIDQ1160271

Jack M. Shapiro

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0022-4049(82)90079-2

zbMATH Keywords

Galois cohomologyGalois extensiontransfer mapsMilnor K-theoryStiefel-Whitney invariantsWitt ring of quadratic forms

Mathematics Subject Classification ID

Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25) Galois cohomology (11R34) General binary quadratic forms (11E16)

Related Items

On Tate-Shafarevich groups over Galois extensions, Transfers on Milnor-Witt \(K\)-theory, Corrections to \(H^3(G,A)\) and obstructions of group extensions, Relations between the Milnor and Quillen K-theory of fields

Cites Work

• Relations between \(K_2\) and Galois cohomology
• A Riemann-Roch type theorem for the Witt and Milnor rings of a field
• Algebraic \(K\)-theory and quadratic forms. With an appendix by J. Tate
• Profinite Groups, Arithmetic, and Geometry. (AM-67)
• Introduction to Algebraic K-Theory. (AM-72)
• A Generalization of the Transfer Map in the Cohomology of Groups
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item