The Kegel--Shemetkov Problem on Lattices of Generalized Subnormal Subgroups of Finite Groups
Tóm tắt
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.
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