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Algebra and Discrete Mathematics, 2012, том 14, выпуск 1, страницы 84–106
(Mi adm86)
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Эта публикация цитируется в 1 научной статье (всего в 1 статье)
RESEARCH ARTICLE
Groups with many pronormal and transitively normal subgroups
L. A. Kurdachenkoa, N. N. Semko (Jr.)b, I. Ya. Subbotinc a Department of Algebra, National University of Dnepropetrovsk, Vul. Naukova 13, Dnepropetrovsk 50, Ukraine 49050
b Department of Mathematics, National University of The State Tax Service of Ukraine, Irpen, Ukraine
c Department of Mathematics and Natural Sciences, National University, 5245 Pacific Concourse Drive, LA, CA 90045, USA
Аннотация:
A subgroup $H$ of a group $G$ is said to be transitively normal in $G$, if $H$ is normal in every subgroup $K\geqslant H$ such that $H$ is subnormal in $K$. We described some infinite groups, whose non–finitely generated subgroups are transitively normal.
Ключевые слова:
soluble group, radical group, locally nilpotent group, transitively normal subgroup, non finitely generated subgroup.
Поступила в редакцию: 29.05.2012 Принята в печать: 29.05.2012
Образец цитирования:
L. A. Kurdachenko, N. N. Semko (Jr.), I. Ya. Subbotin, “Groups with many pronormal and transitively normal subgroups”, Algebra Discrete Math., 14:1 (2012), 84–106
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/adm86 https://www.mathnet.ru/rus/adm/v14/i1/p84
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