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/