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Timeline for Measurable subgroups.

Current License: CC BY-SA 2.5

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Mar 12, 2020 at 12:43 comment added Matthew Daws For future reference, this is known as Steinhaus's Theorem. The wikipedia page gives some links to elementary proofs: in particular this holds for any locally compact group.
May 28, 2010 at 9:11 comment added coudy This is true for any locally compact second countable group. This is proven e.g. in the appendices at the end of Zimmer book "Ergodic theory and semi-simple Lie groups". The proof is not very different from the proof for the group R of real numbers, that you can find in many textbooks.
May 13, 2010 at 14:19 comment added Matthew Daws I'm certain that this is in Hewitt+Ross volume 1, but I don't have a copy handy to check. I'm not sure of a more modern textbook reference...
May 13, 2010 at 12:54 vote accept Xandi Tuni
May 13, 2010 at 12:54 comment added Xandi Tuni If that is true (it seems like a nontrivial statement, but I'm willing to believe) the story ends here.
May 13, 2010 at 11:54 history answered Gerald Edgar CC BY-SA 2.5