Splitting of extensions in the category of locally compact abelian groups

Let $pounds$ 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...

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Bibliographic Details
Main Authors: Hossein Sahleh, Akbar Alijani
Format: Article
Language:English
Published: University of Isfahan 2014-07-01
Series:International Journal of Group Theory
Subjects:
Online Access:http://www.theoryofgroups.ir/pdf_4435_22e1c3d0e09071cafadb580f175adec2.html