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Zapiski Nauchnykh Seminarov POMI, 2012, Volume 400, Pages 127–132 (Mi znsl5613)  
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
Full-text PDF (190 kB) Citations (6)
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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
English version:
Journal of Mathematical Sciences (New York), 2013, Volume 192, Issue 2, Pages 196–199
DOI: https://doi.org/10.1007/s10958-013-1383-9
Bibliographic databases:
Document Type: Article
UDC: 512.741
Language: Russian
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
Citation in format AMSBIB
\Bibitem{VosVolPak12}
\by S.~V.~Vostokov, V.~V.~Volkov, G.~K.~Pak
\paper The Hilbert symbol of a~polynomial formal group
\inbook Problems in the theory of representations of algebras and groups. Part~23
\serial Zap. Nauchn. Sem. POMI
\yr 2012
\vol 400
\pages 127--132
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5613}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2013
\vol 192
\issue 2
\pages 196--199
\crossref{https://doi.org/10.1007/s10958-013-1383-9}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84884976613}
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  • https://www.mathnet.ru/eng/znsl/v400/p127
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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