The Hilbert symbol in a complete multidimensional field. I

DOI10.1023/B:JOTH.0000017880.47115.AEzbMath1118.11050OpenAlexW1991309487MaRDI QIDQ1780394

T. B. Belyaeva, Sergei Vostokov

Publication date: 8 June 2005

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

Full work available at URL: https://doi.org/10.1023/b:joth.0000017880.47115.ae

Mathematics Subject Classification ID

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

Related Items (8)

Pairings in local fields and cryptography ⋮ Explicit form of the Hilbert symbol on polynomial formal module for multidimensional local field. II ⋮ The field-of-norms functor and the Hilbert symbol for higher local fields ⋮ Norm series in high-dimensional local fields ⋮ An explicit form of the Hilbert symbol for polynomial formal groups over a multidimensional local field. I ⋮ Explicit constructions and the arithmetic of local number fields ⋮ The Hilbert symbol of polynomial formal groups ⋮ Shafarevich's paper “A general reciprocity law”

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