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Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics), 2010, Issue 4(5), Pages 39–45 (Mi pfmt193)  
MATHEMATICS

On the $SE$-core of subgroups of a finite group

A. N. Skiba

F. Skorina Gomel State University, Gomel
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Abstract: We give some conditions under which a finite group belongs to a composition formation containing all finite supersoluble groups. The main results of the papers [20]–[32], [34]–[37] are generalized.
Keywords: finite group, saturated formation, composition formation, Baer-local formation, $p$-nilpotent group, cyclic chief factor, supersoluble subgroup, quasisupersoluble group, $S$-quasinormal subgroup, $S$-supplemented subgroup, $S$-quasinormally embedded subgroup, the $SE$-core of subgroup, Sylow subgroup, the generalized Fitting subgroup, maximal subgroup.
Received: 01.11.2010
Document Type: Article
UDC: 512.542
MSC: 20D10, 20D15, 20D20
Language: English
Citation: A. N. Skiba, “On the $SE$-core of subgroups of a finite group”, PFMT, 2010, no. 4(5), 39–45
Citation in format AMSBIB
\Bibitem{Ski10}
\by A.~N.~Skiba
\paper On the $SE$-core of subgroups of a finite group
\jour PFMT
\yr 2010
\issue 4(5)
\pages 39--45
\mathnet{http://mi.mathnet.ru/pfmt193}
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