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  1. Home
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  3. A Universal Construction for Groups Acting Freely on Real Trees
Publisher:
Cambridge University Press
Online publication date:
November 2012
Print publication year:
2012
Online ISBN:
9781139176064
DOI:
https://doi.org/10.1017/CBO9781139176064
Subjects:
Mathematics (general), Mathematics, Algebra
Series:
Cambridge Tracts in Mathematics (195)
Information

Book description

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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Contents

Contents
References
References
References
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