The Geometry of the Word Problem for Finitely Generated Groups

Authors:

ISBN: 978-3-7643-7949-0 (Print) 978-3-7643-7950-6 (Online)

Table of contents (12 chapters)

  1. Front Matter

    Pages i-viii

  2. Dehn Functions and Non-Positive Curvature

    1. Front Matter

      Pages 1-4

    2. No Access

      Book Chapter

      Pages 5-27

      The Isoperimetric Spectrum

    3. No Access

      Book Chapter

      Pages 29-76

      Dehn Functions of Subgroups of CAT(0) Groups

    4. Back Matter

      Pages 77-79

  3. Filling Functions

    1. Front Matter

      Pages 81-87

    2. No Access

      Book Chapter

      Pages 89-108

      Filling Functions

    3. No Access

      Book Chapter

      Pages 109-121

      Relationships Between Filling Functions

    4. No Access

      Book Chapter

      Pages 123-127

      Example: Nilpotent Groups

    5. No Access

      Book Chapter

      Pages 129-143

      Asymptotic Cones

    6. Back Matter

      Pages 145-151

  4. Diagrams and Groups

    1. Front Matter

      Pages 153-156

    2. No Access

      Book Chapter

      Pages 157-162

      Dehn’s Problems and Cayley Graphs

    3. No Access

      Book Chapter

      Pages 163-177

      Van Kampen Diagrams and Pictures

    4. No Access

      Book Chapter

      Pages 179-185

      Small Cancellation Conditions

    5. No Access

      Book Chapter

      Pages 187-196

      Isoperimetric Inequalities and Quasi-Isometries

    6. No Access

      Book Chapter

      Pages 197-199

      Free Nilpotent Groups

    7. No Access

      Book Chapter

      Pages 201-204

      Hyperbolic-by-free groups

    8. Back Matter

      Pages 205-206