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Zapiski Nauchnykh Seminarov POMI, 2016, Volume 452, Pages 132–157
(Mi znsl6360)
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This article is cited in 4 scientific papers (total in 4 papers)
On ultrasolvability of some classes of minimal non-split $p$-extensions with cyclic kernel for $p>2$
D. D. Kiseleva, I. A. Chubarovb a All-Russian Academy of International Trade, Moscow, Russia
b Lomonosov Moscow State University, Faculty of Mechanics and Mathematics, Moscow, Russia
Abstract:
For any nonsplit $p>2$-extensions of finite groups with cyclic kernel and a quotient-group with two generators which acompanying extensions are semisimple there exists a realization of the quotient-group as Galois group of number fields such as corresponding embedding problem is ultrasolvable (i.e., this embedding problem is solvable and has only fields as solutions).
Key words and phrases:
ultrasolvability, embedding problem, minimal extensions.
Received: 08.07.2016
Citation:
D. D. Kiselev, I. A. Chubarov, “On ultrasolvability of some classes of minimal non-split $p$-extensions with cyclic kernel for $p>2$”, Problems in the theory of representations of algebras and groups. Part 30, Zap. Nauchn. Sem. POMI, 452, POMI, St. Petersburg, 2016, 132–157; J. Math. Sci. (N. Y.), 232:5 (2018), 677–692
Linking options:
https://www.mathnet.ru/eng/znsl6360 https://www.mathnet.ru/eng/znsl/v452/p132
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Abstract page: | 164 | Full-text PDF : | 48 | References: | 34 |
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