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Most actions on regular trees are almost free
2009
Groups, Geometry, and Dynamics
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Let T be a d -regular tree (d 3) and A D Aut.T / its automorphism group. Let be the group generated by n independent Haar-random elements of A. We show that almost surely, every nontrivial element of has finitely many fixed points on T . (2000) . 20E08, 05C05, 20E05. Mathematics Subject Classification
doi:10.4171/ggd/54
fatcat:7mt5ihavqffkpm4sbsihqkfbju