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

Format:

Book

Conference/Event

Contributor:

Bridson, Martin R., 1964- editor.

Kropholler, Peter H., 1957- editor.

Leary, Ian J., editor.

Conference Name:

London Mathematical Society Symposium on Geometry and Cohomology in Group Theory (3rd : 2003 : Durham, England)

London Mathematical Society Symposium on Geometry and Cohomology in Group Theory (2003 : Durham, England)

Series:

London Mathematical Society lecture note series ; 358.

London Mathematical Society lecture note series ; 358

Language:

English

Subjects (All):

Geometric group theory--Congresses.

Geometric group theory.

Homology theory--Congresses.

Homology theory.

Physical Description:

1 online resource (x, 320 pages) : digital, PDF file(s).

Other Title:

Geometric & Cohomological Methods in Group Theory

Place of Publication:

Cambridge : Cambridge University Press, 2009.

Language Note:

English

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.

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.

Notes:

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Includes bibliographical references.

ISBN:

1-107-20769-X

1-139-10709-7

1-280-77607-2

9786613686466

1-139-12250-9

1-139-12742-X

1-139-11676-2

1-139-11240-6

1-139-11459-X

OCLC:

769341706