Geodesic
The Kegel – Shemetkov Problem on Lattices of Generalized Subnormal Subgroups of Finite Groups
Algebra i logika, Tome 41 (2002) no. 4, pp. 411-428

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We study into formations $\mathfrak F$ for which the set of all $\mathfrak F$-subnormal ($\mathfrak F$-accessible) subgroups form a sublattice of the lattice of all subgroups in every finite group. A constructive description of all soluble hereditary formations of finite groups with given properties is furnished.
Keywords: finite group
Mots-clés : formation. 
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     author = {A. F. Vasil'ev and S. F. Kamornikov},
     title = {The {Kegel~{\textendash}} {Shemetkov} {Problem} on {Lattices} of {Generalized} {Subnormal} {Subgroups} of {Finite} {Groups}},
     journal = {Algebra i logika},
     pages = {411--428},
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     number = {4},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2002_41_4_a1/}
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A. F. Vasil'ev; S. F. Kamornikov. The Kegel – Shemetkov Problem on Lattices of Generalized Subnormal Subgroups of Finite Groups. Algebra i logika, Tome 41 (2002) no. 4, pp. 411-428. http://geodesic.mathdoc.fr/item/AL_2002_41_4_a1/