Properties of Projective Invariant Subgroups of Abelian Groups
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 1 (2008), pp. 76-82
Voir la notice de l'article provenant de la source Math-Net.Ru
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},
publisher = {mathdoc},
number = {1},
year = {2008},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VTGU_2008_1_a9/}
}
TY - JOUR AU - A. R. Chekhlov TI - Properties of Projective Invariant Subgroups of Abelian Groups JO - Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika PY - 2008 SP - 76 EP - 82 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VTGU_2008_1_a9/ LA - ru ID - VTGU_2008_1_a9 ER -
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/