FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2008, VOLUME 14, NUMBER 5, PAGES 55-65

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

S. Ya. Grinshpon

I. V. Gerdt

Abstract

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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.

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Last modified: May 6, 2009