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Эта публикация цитируется в 2 научных статьях (всего в 2 статьях)
RESEARCH ARTICLE
On the non-periodic groups, whose subgroups of infinite special rank are transitively normal
L. A. Kurdachenkoa, I. Ya. Subbotinb, T. V. Velychkoa a Department of Geometry and Algebra, Dnipro National University, 72 Gagarin Av., Dnipro, Ukraine 49010
b Department of Mathematics and Natural Sciences, National University, 5245 Pacific Concourse Drive, LA, CA 90045, USA
Аннотация:
This paper devoted to the non-periodic locally generalized radical groups, whose subgroups of infinite special rank are transitively normal. We proved that if such a group $G$ includes an ascendant locally nilpotent subgroup of infinite special rank, then $G$ is abelian.
Ключевые слова:
finite special rank, soluble group, periodic group, locally nilpotent radical, locally nilpotent residual, transitively normal subgroups.
Поступила в редакцию: 17.03.2019
Образец цитирования:
L. A. Kurdachenko, I. Ya. Subbotin, T. V. Velychko, “On the non-periodic groups, whose subgroups of infinite special rank are transitively normal”, Algebra Discrete Math., 29:1 (2020), 74–84
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/adm740 https://www.mathnet.ru/rus/adm/v29/i1/p74
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Страница аннотации: | 148 | PDF полного текста: | 62 | Список литературы: | 16 |
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