Geometric and cohomological methods in group theory / edited by Martin R. Bridson, Peter H. Kropholler, Ian J. Leary.
Material type: TextSeries: London Mathematical Society lecture note series ; 358.Publisher: Cambridge : Cambridge University Press, 2009Description: 1 online resource (x, 320 pages) : digital, PDF file(s)Content type:- text
- computer
- online resource
- 9781139107099 (ebook)
- Geometric & Cohomological Methods in Group Theory
- 512.2 22
- QA183 .L66 2003
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Notes on Sela's work: limit groups and Makanin-Razborov diagrams / M. Bestvin and M. Feighn -- Solutions to Bestvina & Feighn's exercises on limit groups / H. Wilton -- L²-invariants from the algebraic point of view / W. Lück -- Constructing non-positively curved spaces and groups / J. McCammond -- Homology and dynamics in quasi-isometric rigidity of once-punctured mapping class groups / L. Mosher -- Hattori-Stallings trace and Euler characteristics for groups / I. Chatterji and G. Mislin -- Groups of small homological dimension and the Atiyah conjecture / P.H. Kropholler, P. Linnell and W. Lück -- Logarithms and assembly maps on Kn̳(Zl̳[G]) / V.P. Snaith -- On complete resolutions / O. Talelli -- Structure theory for branch groups / J.S. Wilson.
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.
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