Random groups do not split
نویسندگان
چکیده
We prove that random groups in the Gromov density model, at any density, satisfy property (FA), i.e. they do not act non-trivially on simplicial trees. This implies that their Gromov boundaries, defined at density less than 1 2 , are Menger curves. Mathematics Subject Classification (2000) 20F65 · 20F67 · 20E08
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