Compactness of certain homogeneous spaces of locally compact groups

Sit, Kwan-Yuk Claire

doi:10.1090/S0002-9939-1976-0425004-0

Compactness of certain homogeneous spaces of locally compact groups
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by Kwan-Yuk Claire Sit PDF

Proc. Amer. Math. Soc. 55 (1976), 170-174 Request permission

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 $1$-component of $G$ is open, $G/H$ is compact.

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