Geometric Group Theory An Introduction /

• Main Author: Löh, Clara (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Series: Universitext,
• Subjects: Mathematics.; Group theory.; Differential geometry.; Hyperbolic geometry.; Manifolds (Mathematics).; Complex manifolds.; Graph theory.; Group Theory and Generalizations.; Differential Geometry.; Hyperbolic Geometry.; Manifolds and Cell Complexes (incl. Diff.Topology).; Graph Theory.

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...

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.