Geodesic
On $K$-large and generalized $K$-large Abelian groups
Fundamentalʹnaâ i prikladnaâ matematika, Tome 13 (2007) no. 3, pp. 51-60 
O. M. Katerinchuk. On $K$-large and generalized $K$-large Abelian groups. Fundamentalʹnaâ i prikladnaâ matematika, Tome 13 (2007) no. 3, pp. 51-60. http://geodesic.mathdoc.fr/item/FPM_2007_13_3_a7/
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     author = {O. M. Katerinchuk},
     title = {On $K$-large and generalized $K$-large {Abelian} groups},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
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     year = {2007},
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     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2007_13_3_a7/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

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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