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Zapiski Nauchnykh Seminarov POMI, 2013, Volume 414, Pages 113–126 (Mi znsl5669)  
This article is cited in 10 scientific papers (total in 10 papers)

Ultrasolvability and singularity in the embedding problem

D. D. Kiseleva, B. B. Lur'eb

a Lomonosov Moscow State University, Moscow, Russia
b St. Petersburg Department of the Steklov Mathematical Institute, St. Petersburg, Russia
Full-text PDF (225 kB) Citations (10)
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Abstract: We give useful description for representatives of singular solution classes of associated embedding problems over local and global fields. We also discover so-called ultrasolvable embedding problems (i.e., solvable embedding problems which have only fields as solutions), which kernel is not lying in the Frattini group of the covered group.
Key words and phrases: ultrasolvable embedding problem, singular solutions.
Received: 15.01.2013
English version:
Journal of Mathematical Sciences (New York), 2014, Volume 199, Issue 3, Pages 306–312
DOI: https://doi.org/10.1007/s10958-014-1858-3
Bibliographic databases:
Document Type: Article
UDC: 512
Language: Russian
Citation: D. D. Kiselev, B. B. Lur'e, “Ultrasolvability and singularity in the embedding problem”, Problems in the theory of representations of algebras and groups. Part 25, Zap. Nauchn. Sem. POMI, 414, POMI, St. Petersburg, 2013, 113–126; J. Math. Sci. (N. Y.), 199:3 (2014), 306–312
Citation in format AMSBIB
\Bibitem{KisLur13}
\by D.~D.~Kiselev, B.~B.~Lur'e
\paper Ultrasolvability and singularity in the embedding problem
\inbook Problems in the theory of representations of algebras and groups. Part~25
\serial Zap. Nauchn. Sem. POMI
\yr 2013
\vol 414
\pages 113--126
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5669}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2014
\vol 199
\issue 3
\pages 306--312
\crossref{https://doi.org/10.1007/s10958-014-1858-3}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84902332928}
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  • https://www.mathnet.ru/eng/znsl/v414/p113
    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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