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Pure N-high Subgroups, P-adic Topology and Direct Sums of Cyclic Groups

Pure N-high Subgroups, P-adic Topology and Direct Sums of Cyclic Groups

This paper is divided into two sections. In the first, we characterize the subgroups N of a reduced abelian primary group for which all pure N -high subgroups are bounded. This condition on pure N -high subgroups occurs in several instances, for instance, all pure N -high subgroups of a …