Generic groups acting on regular trees

Details Generic groups acting on regular trees Generic groups acting on regular trees

2007-02-25

arxiv.org/abs/math/0702736v1

Mathematics

Group Theory

17 pages, 2 figures

Scientific paper

Let T be a k-regular tree (k>2) and A its automorphism group. We analyze a
generic finitely generated subgroup Gamma of A. We show that Gamma is free and
establish a trichotomy on the closure of Gamma: it is either discrete, compact
or has index at most 2 in A.

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