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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


On pure subgroups of $ {\rm LCA}$ groups

Author: D. L. Armacost
Journal: Proc. Amer. Math. Soc. 45 (1974), 414-418
MSC: Primary 22B05
MathSciNet review: 0346087
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Abstract: In this note we determine the structure of those locally compact abelian (LCA) groups in which no nontrivial closed subgroup is pure and the structure of those LCA groups in which every closed subgroup is pure.

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PII: S 0002-9939(1974)0346087-0
Keywords: Closed pure subgroups, elementary groups, $ p$-adic integers, $ p$-adic numbers, pure-simple groups
Article copyright: © Copyright 1974 American Mathematical Society

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