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Algebra and Discrete Mathematics, 2008, Issue 2, Pages 50–64
(Mi adm158)
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RESEARCH ARTICLE
On well $p$-embedded subgroups of finite groups
Nataliya V. Hutsko, Alexander N. Skiba Gomel State University of F. Skorina, Belarus, 246019, Gomel, Sovetskaya Str., 104
Abstract:
Let $G$ be a finite group, $H$ a subgroup of $G$ and $H_{s G}$ the subgroup of $H$ genarated by all those subgroups of $H$ which are $s$-permutable in $G$. Then we say that $H$ is well $p$-embedded in $G$ if $G$ has a quasinormal subgroup $T$ such that $HT=G$ and $T\cap H\leq H_{s G}$. In the present article we use the well $p$-embedded groups to obtain new characterizations for some class of finite soluble, supersoluble, metanilpotent and dispersive groups.
Keywords:
quasinormal group, $s$-permutable group, well $p$-embedded group.
Received: 30.08.2007 Revised: 30.08.2007
Citation:
Nataliya V. Hutsko, Alexander N. Skiba, “On well $p$-embedded subgroups of finite groups”, Algebra Discrete Math., 2008, no. 2, 50–64
Linking options:
https://www.mathnet.ru/eng/adm158 https://www.mathnet.ru/eng/adm/y2008/i2/p50
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Abstract page: | 129 | Full-text PDF : | 61 | First page: | 1 |
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