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The Union of Compact Subgroups of an Analytic Group
Transactions of the American Mathematical Society
Vol. 331, No. 2 (Jun., 1992), pp. 869-879
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/2154147
Page Count: 11
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Let G be an analytic group. Let Ω(G) be the union of all compact subgroups of G. We give a necessary and sufficient condition for Ω(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.
Transactions of the American Mathematical Society © 1992 American Mathematical Society