Authors: Carl Droms, Brigitte Servatius and Herman Servatius
Reference: Preprint
Selected Figures: Not Available
Abstract: Various notions of hyperbolicity have arisen in the study of infinite groups. In this paper we show that a week form of hyperbolicity occurs whenever a group has a Cayley graph of sufficiently low connectivity, and, noreover, the strucure of the group may be computed as a graph of groups whose vertex groups have only cayley graphs of connectivity at least three, and whose edge groups have ordgr at most 2.