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Zapiski Nauchnykh Seminarov POMI, 2017, Volume 455, Pages 52–66 (Mi znsl6406)  
This article is cited in 6 scientific papers (total in 6 papers)

Construction of cyclic extensions of degree $p^2$ for a complete field

I. Zhukova, E. Lysenkob

a St. Petersburg State University, St. Petersburg, Russia
b St. Petersburg Electrotechnical University "LETI", St. Petersburg, Russia
Full-text PDF (207 kB) Citations (6)
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Abstract: In the present paper we embed a given cyclic extension of degree $p$ of a complete discrete valuation field of characteristic 0 with an arbitrary residue field of characteristic $p>0$ into a cyclic extension of degree $p^2$. The result extends the construction obtained by S. V. Vostokov and I. B. Zhukov in terms of Witt vectors, to a wider interval of values for the ramification jump of the original field extension.
Key words and phrases: complete discrete valuation field, cyclic extension, ramification, ramification jump.
Received: 11.02.2017
English version:
Journal of Mathematical Sciences (New York), 2018, Volume 234, Issue 2, Pages 148–157
DOI: https://doi.org/10.1007/s10958-018-3991-x
Document Type: Article
UDC: 512.62
Language: Russian
Citation: I. Zhukov, E. Lysenko, “Construction of cyclic extensions of degree $p^2$ for a complete field”, Problems in the theory of representations of algebras and groups. Part 31, Zap. Nauchn. Sem. POMI, 455, POMI, St. Petersburg, 2017, 52–66; J. Math. Sci. (N. Y.), 234:2 (2018), 148–157
Citation in format AMSBIB
\Bibitem{ZhuLys17}
\by I.~Zhukov, E.~Lysenko
\paper Construction of cyclic extensions of degree $p^2$ for a~complete field
\inbook Problems in the theory of representations of algebras and groups. Part~31
\serial Zap. Nauchn. Sem. POMI
\yr 2017
\vol 455
\pages 52--66
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6406}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2018
\vol 234
\issue 2
\pages 148--157
\crossref{https://doi.org/10.1007/s10958-018-3991-x}
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    • 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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