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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. (Author, http://id.loc.gov/vocabulary/relators/aut)
Corporate Author: SpringerLink (Online service)
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
Edition:1st ed. 2017.
Series:Universitext,
Subjects:
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.
Online Access:https://doi.org/10.1007/978-3-319-72254-2
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.

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