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Random groups have fixed points on CAT(0) cube complexes
Random groups fixed points on CAT(0) cube complexes
2011/2/22
We prove that a random group has fixed points when it isometrically acts on a CAT(0) cube complex. We do not assume that the action is simplicial.
We give a lower and an upper bound for the conformal dimension of the boundaries of certain small cancellation groups. We apply these bounds to the few relator and density models for random groups. Th...