Geometric Group Theory An Introduction

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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Main Author: Löh, Clara
Corporate Author: SpringerLink (Online service)
Format: eBook
Published: Cham Springer International Publishing 2017, 2017
Edition:1st ed. 2017
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of 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
  • Indices