National Science Library of Georgia

Image from Google Jackets

Geometric and cohomological methods in group theory / edited by Martin R. Bridson, Peter H. Kropholler, Ian J. Leary.

By: Contributor(s): Material type: TextTextSeries: 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
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781139107099 (ebook)
Other title:
  • Geometric & Cohomological Methods in Group Theory
Subject(s): Additional physical formats: Print version: : No titleDDC classification:
  • 512.2 22
LOC classification:
  • QA183 .L66 2003
Online resources:
Contents:
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.
Summary: 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.
Tags from this library: No tags from this library for this title. Log in to add tags.
No physical items for this record

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.

There are no comments on this title.

to post a comment.
Copyright © 2023 Sciencelib.ge All rights reserved.