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Zapiski Nauchnykh Seminarov POMI, 2013, Volume 414, Pages 113–126
(Mi znsl5669)
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This article is cited in 10 scientific papers (total in 10 papers)
Ultrasolvability and singularity in the embedding problem
D. D. Kiseleva, B. B. Lur'eb a Lomonosov Moscow State University, Moscow, Russia
b St. Petersburg Department of the Steklov Mathematical Institute, St. Petersburg, Russia
Abstract:
We give useful description for representatives of singular solution classes of associated embedding problems over local and global fields. We also discover so-called ultrasolvable embedding problems (i.e., solvable embedding problems which have only fields as solutions), which kernel is not lying in the Frattini group of the covered group.
Key words and phrases:
ultrasolvable embedding problem, singular solutions.
Received: 15.01.2013
Citation:
D. D. Kiselev, B. B. Lur'e, “Ultrasolvability and singularity in the embedding problem”, Problems in the theory of representations of algebras and groups. Part 25, Zap. Nauchn. Sem. POMI, 414, POMI, St. Petersburg, 2013, 113–126; J. Math. Sci. (N. Y.), 199:3 (2014), 306–312
Linking options:
https://www.mathnet.ru/eng/znsl5669 https://www.mathnet.ru/eng/znsl/v414/p113
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Abstract page: | 299 | Full-text PDF : | 55 | References: | 44 |
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