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Geometric and Cohomological Methods in Group Theory

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Part of London Mathematical Society Lecture Note Series

Editors:
Martin R. Bridson, University of Oxford
Peter H. Kropholler, University of Glasgow
Ian J. Leary, Ohio State University

M. Bestvin, M. Feighn, H. Wilton, W. Lück, J. McCammond, L. Mosher, I. Chatterji, G. Mislin, P. H. Kropholler, P. Linnell, V. P. Snaith, O. Talelli, J. S. Wilson

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Date Published: October 2009
availability: Available
format: Paperback
isbn: 9780521757249

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Description

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About the Authors

Geometric group theory is a vibrant subject at the heart of modern mathematics. It is currently enjoying a period of rapid growth and great influence marked by a deepening of its fertile interactions with logic, analysis and large-scale geometry, and striking progress has been made on classical problems at the heart of cohomological group theory. This volume provides the reader with a tour through a selection of the most important trends in the field, including limit groups, quasi-isometric rigidity, non-positive curvature in group theory, and L2-methods in geometry, topology and group theory. Major survey articles exploring recent developments in the field are supported by shorter research papers, which are written in a style that readers approaching the field for the first time will find inviting.
- An ideal introduction to the field for non-experts
- Survey articles capture the most recent research in this vibrant area of modern mathematics
- Designed for graduate students and researchers in pure mathematics, particularly geometry, topology and group theory
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Product details
- Date Published: October 2009
- format: Paperback
- isbn: 9780521757249
- length: 330 pages
- dimensions: 228 x 152 x 20 mm
- weight: 0.53kg
- contains: 31 b/w illus. 25 exercises
- availability: Available
Table of Contents
Preface
List of participants
1. Notes on Sela's work: limit groups and Makanin-Razborov diagrams M. Bestvina and M. Feighn
2. Solutions to Bestvina & Feighn's exercises on limit groups H. Wilton
3. L2-Invariants from the algebraic point of view W. Lück
4. Constructing non-positively curved spaces and groups J. McCammond
5. Homology and dynamics in quasi-isometric rigidity of once-punctured mapping class groups L. Mosher
6. Hattori-Stallings trace and Euler characteristics for groups I. Chatterji and G. Mislin
7. Groups of small homological dimension and the Atiyah conjecture P. H. Kropholler, P. Linnell and W. Lück
8. Logarithms and assembly maps on Kn(Zl[G]) V. P. Snaith
9. On complete resolutions O. Talelli
10. Structure theory for branch groups J. S. Wilson.
Editors
Martin R. Bridson, University of Oxford
Martin R. Bridson is the Whitehead Professor of Pure Mathematics at the University of Oxford. In 2006 he was awarded the Royal Society's Wolfson Research Merit Award.
Peter H. Kropholler, University of Glasgow
Peter H. Kropholler is Professor of Pure Mathematics at the University of Glasgow.
Ian J. Leary, Ohio State University
Ian J. Leary is Professor in the Department of Mathematics at Ohio State University.
Contributors
M. Bestvin, M. Feighn, H. Wilton, W. Lück, J. McCammond, L. Mosher, I. Chatterji, G. Mislin, P. H. Kropholler, P. Linnell, V. P. Snaith, O. Talelli, J. S. Wilson