Geodesic
The lattice of fully invariant subgroups of a~cotorsion group
Fundamentalʹnaâ i prikladnaâ matematika, Tome 22 (2019) no. 5, pp. 65-73

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For separable $p$-groups, the questions concerning the full transitivity and description of the lattice of fully invariant subgroups of the cotorsion hull are discussed. We consider the case in which the cotorsion hull is not fully transitive, and construct a function, different from the indicator, that makes it possible to study the lattice of fully invariant subgroups of a cotorsion group. 
@article{FPM_2019_22_5_a6,
     author = {T. G. Kemoklidze},
     title = {The lattice of fully invariant subgroups of a~cotorsion group},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {65--73},
     publisher = {mathdoc},
     volume = {22},
     number = {5},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2019_22_5_a6/}
}
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T. G. Kemoklidze. The lattice of fully invariant subgroups of a~cotorsion group. Fundamentalʹnaâ i prikladnaâ matematika, Tome 22 (2019) no. 5, pp. 65-73. http://geodesic.mathdoc.fr/item/FPM_2019_22_5_a6/