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

A. N. Skiba

Problemy fiziki, matematiki i tehniki, no. 4 (2010), pp. 39-45.

Résumé

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.

Détail

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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