Volume 8 of the series Mathematical Sciences Research Institute Publications pp 265319
Dendrology of Groups: An Introduction
 Peter B. ShalenAffiliated withUniversity of Illinois at Chicago
Abstract
The study of group actions on “generalized trees” or “ℝtrees” 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 abovementioned people and also by H. Bass, M. Bestvina, M. Culler, H. Gillet, M. Gromov, W. Parry, F. Rimlinger and J. Stallings, among others.
 Title
 Dendrology of Groups: An Introduction
 Book Title
 Essays in Group Theory
 Pages
 pp 265319
 Copyright
 1987
 DOI
 10.1007/9781461395867_4
 Print ISBN
 9781461395881
 Online ISBN
 9781461395867
 Series Title
 Mathematical Sciences Research Institute Publications
 Series Volume
 8
 Series ISSN
 09404740
 Publisher
 Springer New York
 Copyright Holder
 SpringerVerlag New York Inc.
 Additional Links
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 Editors

 S. M. Gersten ^{(1)}
 Editor Affiliations

 1. Department of Mathematics, University of Utah
 Authors

 Peter B. Shalen ^{(2)}
 Author Affiliations

 2. University of Illinois at Chicago, USA
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