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Pure N-high Subgroups, P-adic Topology and Direct Sums of Cyclic Groups
Published online by Cambridge University Press: 20 November 2018
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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 primary group G are bounded if G is the smallest pure subgroup of G containing N; all N-high subgroups are bounded if N ≠ 0 and all N-high subgroups are closed in the p-adic topology.
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- Copyright © Canadian Mathematical Society 1974
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