Zapiski Nauchnykh Seminarov POMI
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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)
References:
PDF
HTML
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}
Linking options:
  • https://www.mathnet.ru/eng/znsl6406
  • https://www.mathnet.ru/eng/znsl/v455/p52
    • 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
    		Записки научных семинаров ПОМИ
    Statistics & downloads:
    Abstract page:221
    Full-text PDF :46
    References:31
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024