This article is cited in 1 paper

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

O. M. Katerinchuk

Tomsk State University

Abstract: 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 $p$.

UDC: 512.541

Received: 01.05.2006

 English version: Journal of Mathematical Sciences (New York), 2008, 154:3, 312–318

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