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Zapiski Nauchnykh Seminarov POMI, 2008, Volume 356, Pages 118–148 (Mi znsl2111)  
This article is cited in 1 scientific paper (total in 1 paper)

Orders of topological generators of the $K$-group of a standard two-dimensional local field

O. Yu. Ivanova

Saint-Petersburg State University
Full-text PDF (371 kB) Citations (1)
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Abstract: We consider the topological $K$-group of a complete, weakly unramified over the constant subfield, two-dimensional local field of mixed characteristic and with finite second residue field. We estimate the orders of natural generators of this group from above and from below, and prove some relations between these orders. Bibl. – 10 titles.
Received: 23.06.2008
English version:
Journal of Mathematical Sciences (New York), 2009, Volume 156, Issue 6, Pages 918–936
DOI: https://doi.org/10.1007/s10958-009-9298-1
Bibliographic databases:
UDC: 512.5
Language: Russian
Citation: O. Yu. Ivanova, “Orders of topological generators of the $K$-group of a standard two-dimensional local field”, Problems in the theory of representations of algebras and groups. Part 17, Zap. Nauchn. Sem. POMI, 356, POMI, St. Petersburg, 2008, 118–148; J. Math. Sci. (N. Y.), 156:6 (2009), 918–936
Citation in format AMSBIB
\Bibitem{Iva08}
\by O.~Yu.~Ivanova
\paper Orders of topological generators of the $K$-group of a~standard two-dimensional local field
\inbook Problems in the theory of representations of algebras and groups. Part~17
\serial Zap. Nauchn. Sem. POMI
\yr 2008
\vol 356
\pages 118--148
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl2111}
\zmath{https://zbmath.org/?q=an:05632947}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2009
\vol 156
\issue 6
\pages 918--936
\crossref{https://doi.org/10.1007/s10958-009-9298-1}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-65049090599}
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  • https://www.mathnet.ru/eng/znsl/v356/p118
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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