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Zapiski Nauchnykh Seminarov POMI, 2021, Volume 500, Pages 204–212
(Mi znsl7072)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/znsl7072 https://www.mathnet.ru/eng/znsl/v500/p204
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Abstract page: | 92 | Full-text PDF : | 39 | References: | 12 |
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