Geodesic
On extensions of bounded subgroups in Abelian groups
Commentationes Mathematicae Universitatis Carolinae, Tome 55 (2014) no. 2, pp. 175-188 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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It is well-known that every bounded Abelian group is a direct sum of finite cyclic subgroups. We characterize those non-trivial bounded subgroups $H$ of an infinite Abelian group $G$, for which there is an infinite subgroup $G_0$ of $G$ containing $H$ such that $G_0$ has a special decomposition into a direct sum which takes into account the properties of $G$, and which induces a natural decomposition of $H$ into a direct sum of finite subgroups.
It is well-known that every bounded Abelian group is a direct sum of finite cyclic subgroups. We characterize those non-trivial bounded subgroups $H$ of an infinite Abelian group $G$, for which there is an infinite subgroup $G_0$ of $G$ containing $H$ such that $G_0$ has a special decomposition into a direct sum which takes into account the properties of $G$, and which induces a natural decomposition of $H$ into a direct sum of finite subgroups.
Classification : 20K21, 20K27
Keywords: Abelian group; bounded group; simple extension 
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     author = {Gabriyelyan, S. S.},
     title = {On extensions of bounded subgroups in {Abelian} groups},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {175--188},
     year = {2014},
     volume = {55},
     number = {2},
     mrnumber = {3193923},
     zbl = {06391535},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_2014_55_2_a3/}
}
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Gabriyelyan, S. S. On extensions of bounded subgroups in Abelian groups. Commentationes Mathematicae Universitatis Carolinae, Tome 55 (2014) no. 2, pp. 175-188. http://geodesic.mathdoc.fr/item/CMUC_2014_55_2_a3/