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Zapiski Nauchnykh Seminarov POMI, 2014, Volume 423, Pages 126–131 (Mi znsl6001)  
This article is cited in 4 scientific papers (total in 4 papers)

Elementary abelian conductor

I. B. Zhukov

St. Petersburg State University, St. Petersburg, Russia
Full-text PDF (154 kB) Citations (4)
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Abstract: The paper is devoted to ramification theory for a class of complete discrete valuation fields that includes $2$-dimensional local fields of prime characteristic $p$. It is proved that any finite extension of such a field can be modified into an extension with zero ramification depth by means of an infinite elementary abelian base change.
Key words and phrases: complete discrete valuation field, imperfect residue field, $2$-dimensional local field, ramification, conductor.
Received: 04.05.2014
English version:
Journal of Mathematical Sciences (New York), 2015, Volume 209, Issue 4, Pages 564–567
DOI: https://doi.org/10.1007/s10958-015-2513-3
Bibliographic databases:
Document Type: Article
UDC: 512.62
Language: Russian
Citation: I. B. Zhukov, “Elementary abelian conductor”, Problems in the theory of representations of algebras and groups. Part 26, Zap. Nauchn. Sem. POMI, 423, POMI, St. Petersburg, 2014, 126–131; J. Math. Sci. (N. Y.), 209:4 (2015), 564–567
Citation in format AMSBIB
\Bibitem{Zhu14}
\by I.~B.~Zhukov
\paper Elementary abelian conductor
\inbook Problems in the theory of representations of algebras and groups. Part~26
\serial Zap. Nauchn. Sem. POMI
\yr 2014
\vol 423
\pages 126--131
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6001}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3480694}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2015
\vol 209
\issue 4
\pages 564--567
\crossref{https://doi.org/10.1007/s10958-015-2513-3}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84943366449}
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  • https://www.mathnet.ru/eng/znsl/v423/p126
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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