Generic groups acting on regular trees
Group Theory
2007-05-23 v1
Abstract
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.
Cite
@article{arxiv.math/0702736,
title = {Generic groups acting on regular trees},
author = {Miklos Abert and Yair Glasner},
journal= {arXiv preprint arXiv:math/0702736},
year = {2007}
}
Comments
17 pages, 2 figures