Geometric and Cohomological Methods in Group Theory
eBook - PDF

Geometric and Cohomological Methods in Group Theory

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Geometric and Cohomological Methods in Group Theory

About this book

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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Yes, you can access Geometric and Cohomological Methods in Group Theory by Martin R. Bridson,Peter H. Kropholler,Ian J. Leary in PDF and/or ePUB format, as well as other popular books in Matematica & Algebra. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Cover
  2. Title
  3. Copyright
  4. Contents
  5. Preface
  6. List of Participants
  7. Notes on Sela’s work: Limit groups and Makanin-Razborov diagrams
  8. Solutions to Bestvina & Feighn’s exercises on limit groups
  9. L2 Invariants from the algebraic point of view
  10. Constructing non-positively curved spaces and groups
  11. Homology and dynamics in quasi-isometric rigidity of once-punctured mapping class groups
  12. Hattori-Stallings trace and Euler characteristics for groups
  13. Groups of small homological dimension and the Atiyah conjecture
  14. Logarithms and assembly maps on Kn(Zl[G])
  15. On complete resolutions
  16. Structure theory for branch groups