Introduction to Group Actions on Trees

  title={Introduction to Group Actions on Trees},
  author={Michael Kapovich},
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