Most actions on regular trees are almost free

Details Most actions on regular trees are almost free Most actions on regular trees are almost free

2008-10-09

arxiv.org/abs/0810.1731v1

Mathematics

Group Theory

16 pages, one figure, to appear in GGD

Scientific paper

Let T be a d-regular tree (d > 2) and A=Aut(T), its automorphism group. Let G
be a group generated by n independent Haar-random elements of A. We show that
almost surely, every nontrivial element of G has finitely many fixed points on
T.

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