Square subgroups of rank two abelian groups
Volume 117 / 2009
Colloquium Mathematicum 117 (2009), 19-28
MSC: Primary 20K15.
DOI: 10.4064/cm117-1-2
Abstract
Let $G$ be an abelian group and $\square G$ its square subgroup as defined in the introduction. We show that the square subgroup of a non-homogeneous and indecomposable torsion-free group $G$ of rank two is a pure subgroup of $G$ and that $G/{\square G} $ is a nil group.
