FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2007, VOLUME 13, NUMBER 3, PAGES 51-60

**On $K$-large and generalized
$K$-large Abelian groups**

O. M. Katerinchuk

Abstract

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The concepts of $K$-large and generalized
$K$-large Abelian
groups are introduced, and their main properties and interconnections
are studied.
We consider groups that are $K$-large (generalized
$K$-large) with
respect to the class of all groups and torsion-free groups.
Main attention is paid to the case where $K$ consists of bounded
$p$-groups for an
infinite set of prime numbers $p$.

Location: http://mech.math.msu.su/~fpm/eng/k07/k073/k07308h.htm

Last modified: June 19, 2007