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Compactness of Certain Homogeneous Spaces of Locally Compact Groups

Kwan-Yuk Claire Sit
Proceedings of the American Mathematical Society
Vol. 55, No. 1 (Feb., 1976), pp. 170-174
DOI: 10.2307/2041866
Stable URL: http://www.jstor.org/stable/2041866
Page Count: 5
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Compactness of Certain Homogeneous Spaces of Locally Compact Groups
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Abstract

Let $H$ be the fixed points of a family of automorphisms of a locally compact group $G$ with $G/H$ finite invariant measure. It is proved in this paper that when the l-component of $G$ is open, $G/H$ is compact.

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