Properties of Projective Invariant Subgroups of Abelian Groups
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 1 (2008), pp. 76-82
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Properties of projective invariant subgroups are studied. The study of these subgroups is cut to reduced groups. We find conditions, under which torsion-free group is a projective invariant subgroup of its algebraically compact envelope.
Keywords:
abelian group, fully invariant subgroup, projective invariant subgroup.
@article{VTGU_2008_1_a9,
author = {A. R. Chekhlov},
title = {Properties of {Projective} {Invariant} {Subgroups} of {Abelian} {Groups}},
journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
pages = {76--82},
year = {2008},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VTGU_2008_1_a9/}
}
A. R. Chekhlov. Properties of Projective Invariant Subgroups of Abelian Groups. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 1 (2008), pp. 76-82. http://geodesic.mathdoc.fr/item/VTGU_2008_1_a9/