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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