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Zapiski Nauchnykh Seminarov POMI, 2021, Volume 500, Pages 204–212 (Mi znsl7072)  

This article is cited in 1 scientific paper (total in 1 paper)

About one Galois embedding problem

A. V. Yakovlev

St. Petersburg State University, Mathematics and Mechanics Faculty
Full-text PDF (162 kB) Citations (1)
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Abstract: We consider the Galois embedding problem of an extension with an elementary abelian 2-group in an extension with the Galois group isomorphic to the group of unitriangular matrices over the 2-element field. It is proved that the solvability of the maximal accompanying problem with central kernel of period 2 is sufficient for the solvability of the original problem.
Key words and phrases: Galois extensions, embedding problem.
Received: 13.05.2021
Document Type: Article
UDC: 512.623.32
Language: Russian
Citation: A. V. Yakovlev, “About one Galois embedding problem”, Problems in the theory of representations of algebras and groups. Part 37, Zap. Nauchn. Sem. POMI, 500, POMI, St. Petersburg, 2021, 204–212
Citation in format AMSBIB
\Bibitem{Yak21}
\by A.~V.~Yakovlev
\paper About one Galois embedding problem
\inbook Problems in the theory of representations of algebras and groups. Part~37
\serial Zap. Nauchn. Sem. POMI
\yr 2021
\vol 500
\pages 204--212
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl7072}
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  • https://www.mathnet.ru/eng/znsl7072
  • https://www.mathnet.ru/eng/znsl/v500/p204
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    References:12
     
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