The $OP$ subgroup of a torsion-free LCA group
Abstract
Let $G$ be a locally compact abelian (LCA) group. We denote by $G_{op}$, the intersection of all open pure subgroups of $G$, which we call the $OP$ subgroup of $G$. In this paper, we prove that the $OP$ subgroup of a non-discrete, torsion-free LCA group $G$ is a non-zero pure subgroup of $G$.
Fields of Study & Subjects
Advanced Topology and Set Theory
Rings
Modules
and Algebras
Homotopy and Cohomology in Algebraic Topology
Publication details
- Journal / source
- SARAJEVO JOURNAL OF MATHEMATICS
- Volume
- 22
- Issue
- 01
- Pages
- 41–43
- Publication date
- 27 July 2026
- Language
- EN