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MATHEMATICS

Properties of Projective Invariant Subgroups of Abelian Groups

A. R. Chekhlov

Tomsk State University, Faculty of Mechanics and Mathematics

Abstract: 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.

UDC: 512.541


Accepted: December 1, 2007