S. Ya. Grinshpon, I. V. Gerdt, “Abelian groups that are small with respect to different classes of groups”, Fundam. Prikl. Mat., 2008, Volume 14, Issue 5,Pages <nobr>55

Abelian groups that are small with respect to different classes of groups

S. Ya. Grinshpon^a, I. V. Gerdt^b

^a Tomsk State University
^b Tomsk University of Control Systems and Radioelectronics

Abstract: In this paper, we study Abelian groups that are small with respect to different classes of groups. Completely decomposable torsion free groups that are small with respect to an arbitrary class of torsion free groups are described completely. Direct products of groups small with respect to the class of slender groups are derived.

UDC: 512.541