The Hilbert symbol in higher-dimensional local fields for formal Lubin-Tate groups

DOI10.1007/S10958-013-1380-ZzbMath1302.11093OpenAlexW2026752329MaRDI QIDQ744477

S. S. Afanas'eva, Sergei Vostokov, Boris M. Bekker

Publication date: 25 September 2014

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-013-1380-z

zbMATH Keywords

Hilbert symbolMilnor \(K\)-groupLubin-Tate groups

Mathematics Subject Classification ID

Class field theory; (p)-adic formal groups (11S31) (K)-theory of local fields (11S70)

Related Items (1)

Explicit constructions and the arithmetic of local number fields

Cites Work

• Norm series for Lubin-Tate formal groups
• Lubin-Tate formal groups over the ring of integers of a multidimensional local field
• An explicit formula of the Hilbert pairing for Honda formal groups
• Additive and multiplicative expansions in multidimensional local fields
• Sur les lois de réciprocité explicites. I.
• A NORM PAIRING IN FORMAL MODULES
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