Abstract:
In this paper we find necessary and sufficient conditions, stated in cohomological terms, for the existence of a solution to the numerical abelian imbedding problem with given local behavior for a finite set of prime points.
Bibliography: 6 items.
\Bibitem{Ish75}
\by V.~V.~Ishkhanov
\paper The embedding problem with given localizations
\jour Math. USSR-Izv.
\yr 1975
\vol 9
\issue 3
\pages 481--492
\mathnet{http://mi.mathnet.ru/eng/im2040}
\crossref{https://doi.org/10.1070/IM1975v009n03ABEH001488}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=387258}
\zmath{https://zbmath.org/?q=an:0339.12104}
Linking options:
https://www.mathnet.ru/eng/im2040
https://doi.org/10.1070/IM1975v009n03ABEH001488
https://www.mathnet.ru/eng/im/v39/i3/p512
This publication is cited in the following 3 articles:
D. D. Kiselev, “Ultrasoluble coverings of some nilpotent groups by a cyclic group
over number fields and related questions”, Izv. Math., 82:3 (2018), 512–531
D. D. Kiselev, “Optimal bounds for the Schur index and the realizability of representations”, Sb. Math., 205:4 (2014), 522–531
Citation in format AMSBIB
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