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Zapiski Nauchnykh Seminarov POMI, 2007, Volume 349, Pages 135–145 (Mi znsl55)  
The embedding problem with kernel $\mathrm{PSL}\,(2,p^2)$

V. V. Ishkhanov, B. B. Lur'e

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
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Abstract: The embedding problem of number fields is considered. It is proved that it is solvable if and only if all the associated local problems at the infinite points are solvable. It is also proved that the solvability of an adjoint with Sylow 2-group is equivalent to the solvability of the original problem.
Received: 10.11.2007
English version:
Journal of Mathematical Sciences (New York), 2008, Volume 151, Issue 3, Pages 3010–3015
DOI: https://doi.org/10.1007/s10958-008-9018-2
Bibliographic databases:
UDC: 512.623.3
Language: Russian
Citation: V. V. Ishkhanov, B. B. Lur'e, “The embedding problem with kernel $\mathrm{PSL}\,(2,p^2)$”, Problems in the theory of representations of algebras and groups. Part 16, Zap. Nauchn. Sem. POMI, 349, POMI, St. Petersburg, 2007, 135–145; J. Math. Sci. (N. Y.), 151:3 (2008), 3010–3015
Citation in format AMSBIB
\Bibitem{IshLur07}
\by V.~V.~Ishkhanov, B.~B.~Lur'e
\paper The embedding problem with kernel $\mathrm{PSL}\,(2,p^2)$
\inbook Problems in the theory of representations of algebras and groups. Part~16
\serial Zap. Nauchn. Sem. POMI
\yr 2007
\vol 349
\pages 135--145
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl55}
\elib{https://elibrary.ru/item.asp?id=13077204}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2008
\vol 151
\issue 3
\pages 3010--3015
\crossref{https://doi.org/10.1007/s10958-008-9018-2}
\elib{https://elibrary.ru/item.asp?id=13596831}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-49249134252}
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