Abstract
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.
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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 22, No. 5, pp. 65–73, 2019.
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Kemoklidze, T.G. The Lattice of Fully Invariant Subgroups of a Cotorsion Group. J Math Sci 259, 427–433 (2021). https://doi.org/10.1007/s10958-021-05631-9
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DOI: https://doi.org/10.1007/s10958-021-05631-9