# Introduction to Group Actions on Trees

@inproceedings{Kapovich2009IntroductionTG, title={Introduction to Group Actions on Trees}, author={Michael Kapovich}, year={2009} }

- Published 2009
DOI:10.1007/978-0-8176-4913-5_10

Recall that a metric tree T is a metrically complete nonempty geodesic metric space where each geodesic triangle is a tripod. In particular, every two points in T are connected by unique geodesic segment. Vertices (or branch points) of T are the points x ϵ T such that there are at least three geodesic segments in T emanating from x whose interiors are disjoint. A nondegenerate tree is a tree that contains more than one point. We shall consider isometric actions of groups G on trees T. The pair… CONTINUE READING