Relations between the Milnor and Quillen K-theory of fields

DOI10.1016/0022-4049(81)90051-7zbMath0463.18006OpenAlexW2062157285MaRDI QIDQ1153426

Jack M. Shapiro

Publication date: 1981

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(81)90051-7

zbMATH Keywords

transferfinite Galois extensionhomotopy groupsMilnor K-theoryMilnor ring of a fieldQuillen K- theorysymbols on a field

Mathematics Subject Classification ID

(K)-theory of global fields (11R70) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25) (K)-theory of local fields (11S70)

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Cites Work

• Transfer in Galois cohomology commutes with transfer in the Milnor ring
• Algebraic \(K\)-theory and quadratic forms. With an appendix by J. Tate
• Higher algebraic K-theory: I
• $K$-théorie algébrique et représentations de groupes
• Introduction to Algebraic K-Theory. (AM-72)
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