A Universal Construction for Groups Acting Freely on Real Trees
Thomas Müller author Ian Chiswell author
Format:Hardback
Publisher:Cambridge University Press
Published:18th Oct '12
Currently unavailable, and unfortunately no date known when it will be back
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This coherent introduction provides a new perspective on group actions on R-trees.
The theory of R-trees is a well-established and important area of geometric group theory. In this book, the authors introduce a construction that provides a new perspective on group actions on R-trees and could lead to new directions for research in this field. Open problems are included for further study.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.
ISBN: 9781107024816
Dimensions: 235mm x 158mm x 20mm
Weight: 560g
297 pages