No-splitting property and boundaries of random groups

Details No-splitting property and boundaries of random groups No-splitting property and boundaries of random groups

2009-04-24

arxiv.org/abs/0904.3854v1

Mathematics

Geometric Topology

20 pages

Scientific paper

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.

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