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On the torsion in \(K_ 2\) of local fields

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Publication:1054787
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DOI10.2307/2007033zbMath0519.12010OpenAlexW2328004823MaRDI QIDQ1054787

Alexander S. Merkurjev

Publication date: 1983

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2007033

zbMATH Keywords

Hilbert symboldivisible groupramificationTate conjecture\(K_2\)descent theorem


Mathematics Subject Classification ID

Ramification and extension theory (11S15) (K)-theory of local fields (11S70) Steinberg groups and (K_2) (19C99) Generalized class field theory ((K)-theoretic aspects) (19F05)


Related Items

Galois descent and \(K_ 2\) of number fields, Continuity of the norm map on MilnorK-theory, Remarks on classical number-theoretic aspects of Milnor–Witt K-theory, Stable motivic \(\pi_1\) of low-dimensional fields, Some observations on motivic cohomology of arithmetic schemes, On the torsion in \(K_2\) of a field, Wild kernels and divisibility in \(K\)-groups of global fields, MILNOR K-GROUP ATTACHED TO A TORUS AND BIRCH–TATE CONJECTURE, The Brauer–Manin pairing, class field theory, and motivic homology, L'anneau de Milnor d'un corps local à corps résiduel parfait, A conjecture on a class of elements of finite order in \(K_2F_{\mathfrak p}\)



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