The Geometry of the Word Problem for Finitely Generated Groups

Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Brady, Noel (Author), Riley, Tim (Author), Short, Hamish (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Basel : Birkhäuser Basel : Imprint: Birkhäuser, 2007.
Edition:1st ed. 2007.
Series:Advanced Courses in Mathematics - CRM Barcelona,
Subjects:
Group theory.
Convex geometry .
Discrete geometry.
Discrete mathematics.
Algebra.
Group Theory and Generalizations.
Convex and Discrete Geometry.
Discrete Mathematics.
Order, Lattices, Ordered Algebraic Structures.
Online Access:Texto Completo
Table of Contents:
  • Dehn Functions and Non-Positive Curvature
  • The Isoperimetric Spectrum
  • Dehn Functions of Subgroups of CAT(0) Groups
  • Filling Functions
  • Filling Functions
  • Relationships Between Filling Functions
  • Example: Nilpotent Groups
  • Asymptotic Cones
  • Diagrams and Groups
  • Dehn's Problems and Cayley Graphs
  • Van Kampen Diagrams and Pictures
  • Small Cancellation Conditions
  • Isoperimetric Inequalities and Quasi-Isometries
  • Free Nilpotent Groups
  • Hyperbolic-by-free groups.

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