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Zapiski Nauchnykh Seminarov POMI, 2016, Volume 443, Pages 46–60
(Mi znsl6256)
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This article is cited in 2 scientific papers (total in 2 papers)
Explicit form of the Hilbert symbol on polynomial formal module for multidimensional local field. II
S. V. Vostokov, V. V. Volkov St. Petersburg State University, St. Petersburg, Russia
Abstract:
Current paper describes the explicit formula of the Hibert pairing between Milnor $K$-group of multidimensional local field and polynomial formal module. This formula generalizes similar results
for one-dimensioinal case and multidimensional case of multiplicative group. A case of different characteristics of a field and its first residue field is considered.
Key words and phrases:
formal groups, Hilbert symbol, mutidimensional local field, Milnor $K$-group.
Received: 21.12.2015
Citation:
S. V. Vostokov, V. V. Volkov, “Explicit form of the Hilbert symbol on polynomial formal module for multidimensional local field. II”, Problems in the theory of representations of algebras and groups. Part 29, Zap. Nauchn. Sem. POMI, 443, POMI, St. Petersburg, 2016, 46–60; J. Math. Sci. (N. Y.), 222:4 (2017), 394–403
Linking options:
https://www.mathnet.ru/eng/znsl6256 https://www.mathnet.ru/eng/znsl/v443/p46
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Abstract page: | 273 | Full-text PDF : | 70 | References: | 38 |
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