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Zapiski Nauchnykh Seminarov POMI, 2015, Volume 435, Pages 47–72 (Mi znsl6151)  
This article is cited in 4 scientific papers (total in 4 papers)

Ultrasolvable covering of the group $Z_2$ by the groups $Z_8$, $Z_{16}$ and $Q_8$

D. D. Kiselev

All-Russian Academy of International Trade, Moscow, Russia
Full-text PDF (280 kB) Citations (4)
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Abstract: We construct infinite series of non-trivial ultrasolvable embedding problems with cyclic kernel of order $8,16$ and quaternion kernel of order $8$. Moreover, we discover $2$-local non-split universally solvable embedding problems of a quadratic extension into a Galois algebra whose kernel is generalized quaternion or cyclic.
Key words and phrases: ultrasolvability, embedding problem.
Received: 21.04.2015
English version:
Journal of Mathematical Sciences (New York), 2016, Volume 219, Issue 4, Pages 523–538
DOI: https://doi.org/10.1007/s10958-016-3125-2
Bibliographic databases:
Document Type: Article
UDC: 512.623
Language: Russian
Citation: D. D. Kiselev, “Ultrasolvable covering of the group $Z_2$ by the groups $Z_8$, $Z_{16}$ and $Q_8$”, Problems in the theory of representations of algebras and groups. Part 28, Zap. Nauchn. Sem. POMI, 435, POMI, St. Petersburg, 2015, 47–72; J. Math. Sci. (N. Y.), 219:4 (2016), 523–538
Citation in format AMSBIB
\Bibitem{Kis15}
\by D.~D.~Kiselev
\paper Ultrasolvable covering of the group $Z_2$ by the groups $Z_8$, $Z_{16}$ and~$Q_8$
\inbook Problems in the theory of representations of algebras and groups. Part~28
\serial Zap. Nauchn. Sem. POMI
\yr 2015
\vol 435
\pages 47--72
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6151}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3493617}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2016
\vol 219
\issue 4
\pages 523--538
\crossref{https://doi.org/10.1007/s10958-016-3125-2}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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