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Zapiski Nauchnykh Seminarov POMI, 2016, Volume 443, Pages 78–90 (Mi znsl6258)  
Cyclic Galois extensions for quintic equation

K. Y. Gudkova, B. B. Lur'eb

a St. Petersburg State University, St. Petersburg, Russia
b St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia
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Abstract: The authors investigate cyclic Galois extensions for quintic equation, and construct resolvent for real fields and fields, containing square root of $-1$. Also they prove a theorem that characterizes all Galois extensions for quintics.
Key words and phrases: quintic equations, cyclic Galois group, characterization of Galois extensions.
Received: 15.12.2015
English version:
Journal of Mathematical Sciences (New York), 2017, Volume 222, Issue 4, Pages 417–425
DOI: https://doi.org/10.1007/s10958-017-3312-9
Bibliographic databases:
Document Type: Article
UDC: 512
Language: Russian
Citation: K. Y. Gudkov, B. B. Lur'e, “Cyclic Galois extensions for quintic equation”, Problems in the theory of representations of algebras and groups. Part 29, Zap. Nauchn. Sem. POMI, 443, POMI, St. Petersburg, 2016, 78–90; J. Math. Sci. (N. Y.), 222:4 (2017), 417–425
Citation in format AMSBIB
\Bibitem{GudLur16}
\by K.~Y.~Gudkov, B.~B.~Lur'e
\paper Cyclic Galois extensions for quintic equation
\inbook Problems in the theory of representations of algebras and groups. Part~29
\serial Zap. Nauchn. Sem. POMI
\yr 2016
\vol 443
\pages 78--90
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6258}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3507766}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2017
\vol 222
\issue 4
\pages 417--425
\crossref{https://doi.org/10.1007/s10958-017-3312-9}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85014786590}
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