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May 4 at 8:09 comment added Stefaan Vaes @mathbeginner I have now added a self-contained argument and a reference to the earliest paper that I could find with this result.
May 4 at 8:08 history edited Stefaan Vaes CC BY-SA 4.0
In response to a comment of the person asking the question, I added a detailed argument.
May 4 at 1:43 comment added mathbeginner Thanks so much. I have downloaded the paper you mentioned. But in the most part of the paper, $G$ is compact. I cannot see why the above conclusion holds immediately. Is it from Propositon 7.1 of that paper?
May 3 at 21:49 vote accept mathbeginner
May 3 at 18:22 history answered Stefaan Vaes CC BY-SA 4.0