Geodesic
On the $SE$-core of subgroups of a finite group
Problemy fiziki, matematiki i tehniki, no. 4 (2010), pp. 39-45

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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, 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.
Mots-clés : composition formation 
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     author = {A. N. Skiba},
     title = {On the $SE$-core of subgroups of a finite group},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {39--45},
     publisher = {mathdoc},
     number = {4},
     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2010_4_a6/}
}
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A. N. Skiba. On the $SE$-core of subgroups of a finite group. Problemy fiziki, matematiki i tehniki, no. 4 (2010), pp. 39-45. http://geodesic.mathdoc.fr/item/PFMT_2010_4_a6/