A property of $B_2$-groups
Rangaswamy, Kulumani M.
Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994), p. 627-631 / Harvested from Czech Digital Mathematics Library
Access to full text
Full (PDF)

It is shown, under ZFC, that a $B_2$-group has the interesting property of being $\aleph _0$-prebalanced in every torsion-free abelian group in which it is a pure subgroup. As a consequence, we obtain alternate proofs of some well-known theorems on $B_2$-groups.

Publié le : 1994-01-01
Classification:  20K20,  20K25,  20K27 
@article{118704,
     author = {Kulumani M. Rangaswamy},
     title = {A property of $B\_2$-groups},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {35},
     year = {1994},
     pages = {627-631},
     zbl = {0823.20058},
     mrnumber = {1321233},
     language = {en},
     url = {http://dml.mathdoc.fr/item/118704}
}

Rangaswamy, Kulumani M. A property of $B_2$-groups. Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994) pp. 627-631. http://gdmltest.u-ga.fr/item/118704/

Albrecht U.; Hill P. Butler groups of infinite rank and Axiom-3, Czech. Math. J. 37 (1987), 293-309. (1987) | MR 0882600 | Zbl 0628.20045

Bican L.; Fuchs L. Subgroups of Butler groups, to appear. | MR 1378188 | Zbl 0802.20045

Dugas M.; Hill P.; Rangaswamy K.M. Butler groups of infinite rank, Trans. Amer. Math. Soc. 320 (1990), 643-664. (1990) | MR 0963246 | Zbl 0708.20018

Fuchs L. Infinite Abelian Groups, vol. 2, Academic Press, New York, 1973. | MR 0349869

Fuchs L. Butler Groups of Infinite Rank, to appear. | MR 1316995 | Zbl 0842.20045

Hill P.; Megibben C. Pure subgroups of torsion-free groups, Trans. Amer. Math. Soc. 303 (1987), 765-778. (1987) | MR 0902797 | Zbl 0627.20028

Rangaswamy K.M. A homological characterization of abelian $B_2$-groups, Proc. Amer. Math. Soc., to appear. | MR 1186993