The OP subgroup of a torsion-free LCA group

2023/04/02 by Alijani, AliAkbar
#22B05 #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2304.00516

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 torsion-free LCA group G is a non-zero pure subgroup of G.

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