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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
A Universal Construction for Groups Acting Freely on Real Trees

A Universal Construction for Groups Acting Freely on Real Trees

Chiswell, Ian
Müller, Thomas

Hardcover

Series: Cambridge Tracts in Mathematics, Book 195

Algebra

ISBN10: 1107024811
ISBN13: 9781107024816
Publisher: Cambridge University Press
Published: Nov 26 2012
Pages: 297
Weight: 1.20
Height: 1.00 Width: 5.90 Depth: 9.00
Language: English
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.

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