Dense pure subgroups of locally compact groups

Kabenyuk, M. I.

doi:10.1090/S0002-9939-1993-1145946-0

Dense pure subgroups of locally compact groups
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Proc. Amer. Math. Soc. 117 (1993), 537-539 Request permission

Abstract:

We prove that a locally compact abelian (LCA) group has no proper dense pure subgroups if and only if it does not have proper dense subgroups. This solves a problem of Armacost.

References

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