Gabriyelyan, S. S. On extensions of bounded subgroups in Abelian groups. (English) Zbl 1324.20036 Commentat. Math. Univ. Carol. 55, No. 2, 175-188 (2014). Summary: 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. Cited in 1 Document MSC: 20K21 Mixed groups 20K27 Subgroups of abelian groups 20K25 Direct sums, direct products, etc. for abelian groups 20K35 Extensions of abelian groups Keywords:infinite Abelian groups; bounded subgroups; simple extensions; direct sums of subgroups PDFBibTeX XMLCite \textit{S. S. Gabriyelyan}, Commentat. Math. Univ. Carol. 55, No. 2, 175--188 (2014; Zbl 1324.20036) Full Text: Link