Geodesic
Square subgroups of rank two abelian groups
A. M. Aghdam1 ; A. Najafizadeh1
1 Department of Mathematics University of Tabriz Tabriz, Iran
Colloquium Mathematicum, Tome 117 (2009) no. 1, pp. 19-28.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/cm117-1-2
Keywords: abelian group square its square subgroup defined introduction square subgroup non homogeneous indecomposable torsion free group rank pure subgroup square nil group

A. M. Aghdam 1 ; A. Najafizadeh 1

1 Department of Mathematics University of Tabriz Tabriz, Iran 
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A. M. Aghdam; A. Najafizadeh. Square subgroups of rank two abelian groups. Colloquium Mathematicum, Tome 117 (2009) no. 1, pp. 19-28. doi : 10.4064/cm117-1-2. http://geodesic.mathdoc.fr/articles/10.4064/cm117-1-2/

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