FPM 2007, vol. 13, no. 3, pp. 51-60

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 $p$ .

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On K-large and generalized K-large Abelian groups

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