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Separable and vector groups whose projectively invariant subgroups are fully invariant. (Russian, English) Zbl 1212.20073

Sib. Mat. Zh. 50, No. 4, 942-953 (2009); translation in Sib. Math. J. 50, No. 4, 748-756 (2009).
Summary: We study the Abelian groups all of whose projectively invariant subgroups are fully invariant. We describe the separable and vector groups with this property.

MSC:

20K30 Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups
20K27 Subgroups of abelian groups
20K20 Torsion-free groups, infinite rank
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