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Zapiski Nauchnykh Seminarov POMI, 2013, Volume 413, Pages 106–114 (Mi znsl5665)  
This article is cited in 5 scientific papers (total in 5 papers)

Ramification in elementary abelian extensions

I. B. Zhukov

St. Petersburg State University, St. Petersburg, Russia
Full-text PDF (213 kB) Citations (5)
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Abstract: The paper is devoted to some properites of ramification invariants in infinite abelian extensions of exponent $p$ for a class of complete discrete valuation fields that includes $2$-dimensional local fields of prime characteristic $p$. In particular, it is proved that the maximal such extension with prescribed upper bound of ramification breaks has finite depth of ramification, and this depth is computed.
Key words and phrases: complete discrete valuation field, imperfect residue field, two-dimensional local field, ramification.
Received: 17.04.2013
English version:
Journal of Mathematical Sciences (New York), 2014, Volume 202, Issue 3, Pages 404–409
DOI: https://doi.org/10.1007/s10958-014-2050-5
Bibliographic databases:
Document Type: Article
UDC: 512.62
Language: Russian
Citation: I. B. Zhukov, “Ramification in elementary abelian extensions”, Problems in the theory of representations of algebras and groups. Part 24, Zap. Nauchn. Sem. POMI, 413, POMI, St. Petersburg, 2013, 106–114; J. Math. Sci. (N. Y.), 202:3 (2014), 404–409
Citation in format AMSBIB
\Bibitem{Zhu13}
\by I.~B.~Zhukov
\paper Ramification in elementary abelian extensions
\inbook Problems in the theory of representations of algebras and groups. Part~24
\serial Zap. Nauchn. Sem. POMI
\yr 2013
\vol 413
\pages 106--114
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5665}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3073060}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2014
\vol 202
\issue 3
\pages 404--409
\crossref{https://doi.org/10.1007/s10958-014-2050-5}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84919913867}
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  • https://www.mathnet.ru/eng/znsl/v413/p106
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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