No-splitting property and boundaries of random groups
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 trees. This implies that their Gromov boundaries, defined at density less than 1 2 , are Menger curves. MSC: 20F65; 20F67; 20E08
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تاریخ انتشار 2009