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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

The union of compact subgroups of an analytic group


Author: Ta Sun Wu
Journal: Trans. Amer. Math. Soc. 331 (1992), 869-879
MSC: Primary 22D05; Secondary 22E15
MathSciNet review: 1044968
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Abstract: Let $ G$ be an analytic group. Let $ \Omega (G)$ be the union of all compact subgroups of $ G$. We give a necessary and sufficient condition for $ \Omega (G)$ to be dense in $ G$ in terms of the action of a maximal compact torus $ T$ of $ G$ on the nilradical $ N$ of $ G$.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1992-1044968-1
PII: S 0002-9947(1992)1044968-1
Article copyright: © Copyright 1992 American Mathematical Society