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Jun 5, 2012 at 21:48 comment added YCor As Alain mentions, the first proof (with target $\mathbf{Z}$) is from R. Alperin in the early 80's; actually the 1982 paper refers to the older [Compact groups acting on trees. Houston J. Math. 6 (1980), no. 4, 439--441.] The proof is subtle but quite elementary, this is considerably simpler than the Nikolov-Segal result.
Nov 17, 2011 at 7:49 vote accept Florent MARTIN
Nov 16, 2011 at 17:11 history edited Andreas Thom CC BY-SA 3.0
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Nov 15, 2011 at 16:43 comment added kassabov this is a 2nd generation proof -- the first one is from 2005 :)
Nov 15, 2011 at 11:43 comment added Martin Brandenburg 1+. It's hard to believe that such a result was only proven recently, in 2011.
Nov 15, 2011 at 9:54 vote accept Florent MARTIN
Nov 17, 2011 at 7:49
Nov 15, 2011 at 9:39 history answered Andreas Thom CC BY-SA 3.0