Essays in Group Theory pp 265-319

Part of the Mathematical Sciences Research Institute Publications book series (MSRI, volume 8)

Dendrology of Groups: An Introduction

  • Peter B. Shalen

Abstract

The study of group actions on “generalized trees” or “ℝ-trees” has recently been attracting the attention of mathematicians in several different fields. This subject had its beginnings in the work of R. Lyndon [L] and I. Chiswell [Chi], and—from a different point of view—in the work of J. Tits [Ti]. The link between the points of view of these authors was provided by R. Alperin and K. Moss in [AM]. J. Morgan and I, in [MoS1,Mo2], established connections of this theory with hyperbolic geometry and with W. Thurston’s theory of measured laminations. The picture has been developed further by the above-mentioned people and also by H. Bass, M. Bestvina, M. Culler, H. Gillet, M. Gromov, W. Parry, F. Rimlinger and J. Stallings, among others.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag New York Inc. 1987

Authors and Affiliations

  • Peter B. Shalen
    • 1
  1. 1.University of Illinois at ChicagoUSA

Personalised recommendations