A Universal Construction for Groups Acting Freely on Real Trees (Hardcover) (ISBN-13: 9781107024816)

The theory of R-trees is a well-established and important area of geometric group theory and in this book the authors introduce a construction that provides a new perspective on group actions on R-trees. They construct a group RF(G), equipped with an action on an R-tree, whose elements are certain functions from a compact real interval to the group G. They also study the structure of RF(G), including a detailed description of centralizers of elements and an investigation of its subgroups and quotients. Any group acting freely on an R-tree embeds in RF(G) for some choice of G. Much remains to be done to understand RF(G), and the extensive list of open problems included in an appendix could potentially lead to new methods for investigating group actions on R-trees, particularly free actions. This book will interest all geometric group theorists and model theorists whose research involves R-trees.

Author: Ian Chiswell,Thomas Müller
ISBN-10: 1107024811
ISBN-13: 9781107024816
Publisher: Cambridge University Press
Language: English
Published: 10/18/2012
Pages: 297
Format: Hardcover
Weight: 1.20lbs
Size: 9.00h x 5.90w x 1.00d