Intermediately fully invariant subgroups of abelian groups |
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Authors: | Email author" target="_blank">A?R?ChekhlovEmail author |
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Institution: | 1.Tomsk State University,Tomsk,Russia |
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Abstract: | Describing intermediately fully invariant subgroups of divisible and torsion groups, we show that the intermediately fully invariant subgroups are direct summands in a completely decomposable group whose every homogeneous component is decomposable. For torsion groups, we find out when all their fully invariant subgroups are intermediately fully invariant; and for torsion-free groups, this question comes down to the reduced case. Also, in a torsion group that is the sum of cyclic subgroups, its subgroup is shown to be intermediately inert if and only if it is commensurable with some intermediately fully invariant subgroup. |
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