Finite groups with given maximal chains of length $\le 3$

D. P. Andreeva ; A. N. Skiba

Problemy fiziki, matematiki i tehniki, no. 3 (2011), pp. 39-49.

Résumé

A description of a finite group with the property that every its maximal chain of length 3 contains a proper $S$-quasinormal subgroup, and a description of a finite group with the property that every its 3-maximal subgroup is subnormal ($S$-quasinormal) are obtained.

Détail

Keywords: Sylow subgroup, Schmidt group, $n$-maximal subgroup, nilpotent group, maximal chain of length $n$, $S$-quasinormal subgroup, subnormal subgroup.
Mots-clés : soluble group

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