Geometric Group Theory [electronic resource] An Introduction / by Clara Löh.

Inspired by classical geometry, geometric group theory has in turn provided a variety of applications to geometry, topology, group theory, number theory and graph theory. This carefully written textbook provides a rigorous introduction to this rapidly evolving field whose methods have proven to be p...

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Bibliographic Details
Uniform Title:Universitext, 2191-6675
Main Author: Löh, Clara (Author)
Corporate Author: SpringerLink (Online service)
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
Edition:1st ed. 2017.
Series:Universitext,
Subjects:
Group theory.
Geometry, Differential.
Geometry, Hyperbolic.
Manifolds (Mathematics).
Graph theory.
Online Access:
Springer Mathematics and Statistics eBooks 2017 English/International: 2017 (Springer Link)
Format: Electronic eBook
Contents:
  • 1 Introduction
  • Part I Groups
  • 2 Generating groups
  • Part II Groups > Geometry
  • 3 Cayley graphs
  • 4 Group actions
  • 5 Quasi-isometry
  • Part III Geometry of groups
  • 6 Growth types of groups
  • 7 Hyperbolic groups
  • 8 Ends and boundaries
  • 9 Amenable groups
  • Part IV Reference material
  • A Appendix
  • Bibliography
  • Indic