Proves the OP subgroup is a non-zero pure subgroup in non-discrete torsion-free LCA groups, indicating structural properties.
Let G be a locally compact abelian (LCA) group. We denote by Gₒₚ, 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.
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Aliakbar Alijani (2026) studied this question.
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