On subgroup lattices of subnormal type in finite groups
Trudy Instituta matematiki, Tome 21 (2013) no. 1, pp. 25-34.

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In this paper we received a description of hereditary transitive subgroup Skiba functors and hereditary saturated formations which are a lattice in the class of all finite soluble groups with nilpotent length less than or equal $k,$ where $k\ge3$.
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A. F. Vasil'ev; I. N. Khalimonchik. On subgroup lattices of subnormal type in finite groups. Trudy Instituta matematiki, Tome 21 (2013) no. 1, pp. 25-34. http://geodesic.mathdoc.fr/item/TIMB_2013_21_1_a2/

[1] Wielandt H., “Eine Verallgemeinerung der invarianten Untergruppen”, Math. Z., 45 (1939), 209–244 | DOI | MR

[2] Hawkes T., “On formations subgroups of a finite soluble groups”, J. London Math. Soc., 44 (1969), 243–250 | DOI | MR | Zbl

[3] Shemetkov L. A., Formatsii konechnykh grupp, Nauka, M., 1978

[4] Vasilev A. F., Kamornikov S. F., Semenchuk V. N., “O reshetkakh podgrupp konechnykh grupp”, Beskonechnye gruppy i primykayuschie algebraicheskie sistemy, In-t matematiki AN Ukrainy, Kiev, 1993, 27–54

[5] Ballester-Bolinches A., Doerk K., Perez-Ramos M. D., “On the lattice on $\mathfrak{F}$-subnormal subgroups”, J. Algebra, 115 (1992), 393–396 | MR

[6] Vasilev A. F., Kamornikov S. F., “K probleme Kegelya–Shemetkova o reshetkakh obobschenno subnormalnykh podgrupp konechnykh grupp”, Algebra i logika, 41:4 (2002), 411–428 | MR | Zbl

[7] Kamornikov S. F., Selkin M. V., Podgruppovye funktory i klassy konechnykh grupp, Belaruskaya navuka, Minsk, 2003

[8] Ballester-Bolinches A., Ezquerro L. M., Classes of Finite Groups, Springer, 2006 | MR | Zbl

[9] Vasilev A. F., Khalimonchik I. N., “Uslovno reshetochnye formatsii konechnykh grupp”, Izv. Gomel. gos. un-ta im. F. Skoriny, 2008, no. 2(47), 50–55

[10] Vasilev A. F., Kamornikov S. F., “O funktornom metode izucheniya reshetok podgrupp konechnykh grupp”, Sib. mat. zhurnal, 42:1 (2001), 30–40 | MR | Zbl

[11] Vasilev A. F., “O perechislenii lokalnykh formatsii s usloviem Kegelya”, Voprosy algebry, 1993, no. 7, 86–93 | MR

[12] Doerk K., Hawkes T., Finite soluble groups, Walter de Gruyter, Berlin–New York, 1992 | MR