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Математические заметки, 2017, том 101, выпуск 4, статья опубликована в англоязычной версии журнала
(Mi mzm11621)
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Эта публикация цитируется в 1 научной статье (всего в 1 статье)
Статьи, опубликованные в английской версии журнала
On $S$-Quasinormally Embedded Subgroups of Finite Groups
Z. Shena, J. Zhangb, G. Chenc, Y. Chend a School of Science, Sichuan University of Science and
Engineering, Zigong, China
b Department of Mathematics of College of Science, China Agricultural University, Beijing, China
c Shandong Water Polytechnic, Rizhao, China
d College of Information and Electrical Engineering, China Agricultural University, Beijing, China
Аннотация:
A subgroup $H$ of a group $G$ is said to be $S$-quasinormally embedded in $G$ if for every Sylow subgroup $P$ of $H$, there is an $S$-quasinormal subgroup $K$ in $G$ such that $P$ is also a Sylow subgroup of $K$. Groups with certain $S$-quasinormally embedded subgroups of prime power order are studied. We prove Theorems 1.4, 1.5 and 1.6 of [10] remain valid if we omit the assumption that $G$ is a group of odd order.
Ключевые слова:
$S$-quasinormally embedded subgroups;
$p$-nilpotent group;
supersolvable group; formation.
Образец цитирования:
Z. Shen, J. Zhang, G. Chen, Y. Chen, “On $S$-Quasinormally Embedded Subgroups of Finite Groups”, Math. Notes, 101:4 (2017), 735–740
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/mzm11621
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