Geodesic
On $K$-large and generalized $K$-large Abelian groups
Fundamentalʹnaâ i prikladnaâ matematika, Tome 13 (2007) no. 3, pp. 51-60

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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 $p$. 
@article{FPM_2007_13_3_a7,
     author = {O. M. Katerinchuk},
     title = {On $K$-large and generalized $K$-large {Abelian} groups},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {51--60},
     publisher = {mathdoc},
     volume = {13},
     number = {3},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2007_13_3_a7/}
}
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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/