A universal construction for groups acting freely on real trees
 Author/Creator
 Chiswell, Ian, 1948
 Language
 English.
 Imprint
 Cambridge, UK ; New York : Cambridge University Press, 2012.
 Physical description
 xiii, 285 p. ; 24 cm.
 Series
 Cambridge tracts in mathematics ; 195.
Access
Available online
 proquest.safaribooksonline.com Safari Books Online

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Unknown
QA183 .C49 2012

Unknown
QA183 .C49 2012
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Contributors
 Contributor
 Müller, T. W. (Thomas Wolfgang), 1957
Contents/Summary
 Bibliography
 Includes bibliographical references (p. [279]281) and index.
 Contents

 Preface 1. Introduction 2. The group RF(G) 3. The Rtree XG associated with RF(G) 4. Free Rtree actions and universality 5. Exponent sums 6. Functoriality 7. Conjugacy of hyperbolic elements 8. The centralizers of hyperbolic elements 9. Test functions: basic theory and first applications 10. Test functions: existence theorem and further applications 11. A generalization to groupoids Appendix A. The basics of LAMBDAtrees Appendix B. Some open problems References Index.
 (source: Nielsen Book Data)
 Publisher's Summary
 The theory of Rtrees is a wellestablished 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 Rtrees. They construct a group RF(G), equipped with an action on an Rtree, 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 Rtree 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 Rtrees, particularly free actions. This book will interest all geometric group theorists and model theorists whose research involves Rtrees.
(source: Nielsen Book Data)
Subjects
Bibliographic information
 Publication date
 2012
 Responsibility
 Ian Chiswell, Thomas Müller.
 Series
 Cambridge tracts in mathematics ; 195
 ISBN
 9781107024816 (hbk.)
 1107024811 (hbk.)