University of IsfahanInternational Journal of Group Theory2251-76503320140901Splitting of extensions in the category of locally compact abelian groups3945443510.22108/ijgt.2014.4435ENHossein SahlehDepartment of Mathematics
University of GuilanAkbar AlijaniUniversity of GuilanJournal Article20130225Let $pounds$ be the category of all locally compact abelian (LCA) groups. In this paper, the groups $G$ in $pounds$ are determined such that every extension $0to Xto Yto Gto 0$ with divisible, $sigma-$compact $X$ in $pounds$ splits. We also determine the discrete or compactly generated LCA groups $H$ such that every pure extension $0to Hto Yto Xto 0$ splits for each divisible group $X$ in $pounds$.http://ijgt.ui.ac.ir/article_4435_22e1c3d0e09071cafadb580f175adec2.pdf