Geometric and Cohomological Methods in Group Theory (London Mathematical Society Lecture Note Series, Vol. 358) by Martin R. Bridson, Peter H. Kropholler and Ian J. Leary
English | ISBN: 052175724X | 2009 | 330 pages | PDF | 2,4 MB
English | ISBN: 052175724X | 2009 | 330 pages | PDF | 2,4 MB
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.