TWO EXAMPLES ON UNIONS OF ABELIAN $p$-GROUPS

We give two constructive examples of groups that are special unions of abelian $p$-groups. This sheds some light on certain problematic aspects in the present subject.

Keywords:

Abelian Groups, Balanced Subgroups, Nice Subgroups Unions,

PDF

___

[1] B. Balof and P. Keef, Invariants on primary abelian groups and a problem of Nunke, Note Mat. 29 (2009), 83-114.
[2] P. V. Danchev, A nice basis for $S(FG)/G_p$, Atti Sem. Mat. Fis. Univ. Modena e Reggio Emilia 53 (2005), 3-11.
[3] P. V. Danchev, Nice bases for primary abelian groups, Ann. Univ. Ferrara (Sci. Mat.) 53 (2007), 39-50.
[4] P. V. Danchev, Abelian groups with a nice basis, C. R. Acad. Bulg. Sci. 60 (2007), 219-224.
[5] P. V. Danchev, Generalized Dieudonne and Hill criteria, Portugal. Math. 65 (2008), 121-142.
[6] P. V. Danchev, Nice bases for mixed and torsion-free abelian groups, Bull. Malays. Math. Sci. Soc. 33 (2010), 393-403.
[7] P. V. Danchev and P. W. Keef, Nice bases and thickness in primary abelian groups, Rocky Mount. J. Math. 41 (2011), 1127-1143.
[8] L. Fuchs, Abelian Groups, Springer, Switzerland (2015).
[9] P. Hill, Primary groups whose subgroups of smaller cardinality are direct sums of cyclic groups, Pac. J. Math. 42 (1972), 63-67.
[10] P. Hill, Almost coproducts of nite cyclic groups, Comment. Math. Univ. Carol. 36 (1995), 795-804.
[11] P. Hill and W. Ullery, Almost totally projective groups, Czechoslovak Math. J. 46 (1996),249-258.

Yayın Aralığı: Yılda 2 Sayı
Başlangıç: 2013
Yayıncı: Mehmet Zeki SARIKAYA

Arşiv