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Zapiski Nauchnykh Seminarov POMI, 2012, Volume 400, Pages 127–132
(Mi znsl5613)
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This article is cited in 6 scientific papers (total in 6 papers)
The Hilbert symbol of a polynomial formal group
S. V. Vostokova, V. V. Volkova, G. K. Pakb a Saint-Petersburg State University, Saint-Petersburg, Russia
b Far Eastern National University, Vladivostok, Russia
Abstract:
We constract an explicit formula for the analogue of Hilbert pairing over universal formal modules for polynomial formal group of integer ring of local field is constructed. This pairing is well-defined, invariant under the change of variables and has a property similar to the invariance under the change of series expansion. Aim of this construction is to obtain explicit formulae for generalised Hilbert pairing over arbitrary formal module for polynomial formal group of local ring.
Key words and phrases:
universal formal groups, Hilbert pairing, local rings, polynomial formal groups.
Received: 19.02.2012
Citation:
S. V. Vostokov, V. V. Volkov, G. K. Pak, “The Hilbert symbol of a polynomial formal group”, Problems in the theory of representations of algebras and groups. Part 23, Zap. Nauchn. Sem. POMI, 400, POMI, St. Petersburg, 2012, 127–132; J. Math. Sci. (N. Y.), 192:2 (2013), 196–199
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https://www.mathnet.ru/eng/znsl5613 https://www.mathnet.ru/eng/znsl/v400/p127
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Abstract page: | 412 | Full-text PDF : | 146 | References: | 47 |
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