Geodesic
Finite groups with given maximal chains of length $\le 3$
Problemy fiziki, matematiki i tehniki, no. 3 (2011), pp. 39-49

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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.
Keywords: Sylow subgroup, Schmidt group, $n$-maximal subgroup, nilpotent group, maximal chain of length $n$, $S$-quasinormal subgroup, subnormal subgroup.
Mots-clés : soluble group 
@article{PFMT_2011_3_a6,
     author = {D. P. Andreeva and A. N. Skiba},
     title = {Finite groups with given maximal chains of length $\le 3$},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {39--49},
     publisher = {mathdoc},
     number = {3},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2011_3_a6/}
}
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D. P. Andreeva; A. N. Skiba. Finite groups with given maximal chains of length $\le 3$. Problemy fiziki, matematiki i tehniki, no. 3 (2011), pp. 39-49. http://geodesic.mathdoc.fr/item/PFMT_2011_3_a6/