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Mathematics of the USSR-Izvestiya, 1982, Volume 19, Issue 2, Pages 261–284
DOI: https://doi.org/10.1070/IM1982v019n02ABEH001417 (Mi im1595) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Symbols on formal groups

S. V. Vostokov
English version PDF (1207 kB) Citations (9)
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DOI: https://doi.org/10.1070/IM1982v019n02ABEH001417
Abstract: The theory of a continuous Steinberg symbol in a local field is generalized to formal commutative groups. For Lubin–Tate groups, a universal symbol is constructed in explicit form, and it is shown that the module of values of an arbitrary symbol imbeds into the group of points of the formal group.
By means of this theory of symbols a new approach is given to obtaining an explicit form for the Hilbert norm residue symbol on Lubin–Tate formal groups.
Bibliography: 10 titles.
Received: 20.02.1981
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1981, Volume 45, Issue 5, Pages 985–1014
Bibliographic databases:
UDC: 519.48
MSC: Primary 12B25; Secondary 14L05
Language: English
Original paper language: Russian
Citation: S. V. Vostokov, “Symbols on formal groups”, Izv. Akad. Nauk SSSR Ser. Mat., 45:5 (1981), 985–1014; Math. USSR-Izv., 19:2 (1982), 261–284
Citation in format AMSBIB
\Bibitem{Vos81}
\by S.~V.~Vostokov
\paper Symbols on formal groups
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1981
\vol 45
\issue 5
\pages 985--1014
\mathnet{http://mi.mathnet.ru/im1595}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=637613}
\zmath{https://zbmath.org/?q=an:0501.14027|0483.14011}
\transl
\jour Math. USSR-Izv.
\yr 1982
\vol 19
\issue 2
\pages 261--284
\crossref{https://doi.org/10.1070/IM1982v019n02ABEH001417}
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:435
    Russian version PDF:167
    English version PDF:13
    References:52
    First page:1
     
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