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Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics), 2014, Issue 1(18), Pages 57–62 (Mi pfmt289)  
MATHEMATICS

On semi cover-avoiding or $S$-quasinormally embedded subgroups of finite groups

Abid Mahbooba, Lijun Huoa, Jinghua Lub

a University of Science and Technology of China, Hefei, China
b Southwest University of Science and Technology
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Abstract: In this paper, we characterize the nilpotency and supersolvability of a finite group $G$ by assuming some subgroups of prime power order are either semi cover-avoiding or $S$-quasinormally embeded in $G$. Some known results are generalized.
Keywords: semi cover-avoiding subgroup; $S$-quasinormally embeded subgroup; $p$-nilpotent group; supersolvable group.
Received: 21.11.2013
Document Type: Article
UDC: 512.542
Language: English
Citation: Abid Mahboob, Lijun Huo, Jinghua Lu, “On semi cover-avoiding or $S$-quasinormally embedded subgroups of finite groups”, PFMT, 2014, no. 1(18), 57–62
Citation in format AMSBIB
\Bibitem{MahHuoLu14}
\by Abid~Mahboob, Lijun~Huo, Jinghua~Lu
\paper On semi cover-avoiding or $S$-quasinormally embedded subgroups of finite groups
\jour PFMT
\yr 2014
\issue 1(18)
\pages 57--62
\mathnet{http://mi.mathnet.ru/pfmt289}
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