The Geometry of the Word Problem for Finitely Generated Groups

2007 | Buch

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The Geometry of the Word Problem for Finitely Generated Groups

verfasst von: Noel Brady, Tim Riley, Hamish Short

Verlag: Birkhäuser Basel

Buchreihe : Advanced Courses in Mathematics - CRM Barcelona

Enthalten in: Springer Professional "Wirtschaft+Technik" , Springer Professional "Technik" , Springer Professional "Wirtschaft"

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Inhaltsverzeichnis

Frontmatter

Dehn Functions and Non-Positive Curvature

Frontmatter

Chapter 1. The Isoperimetric Spectrum

Chapter 2. Dehn Functions of Subgroups of CAT(0) Groups

Backmatter

Filling Functions

Frontmatter

Chapter 1. Filling Functions

Chapter 2. Relationships Between Filling Functions

Chapter 3. Example: Nilpotent Groups

Chapter 4. Asymptotic Cones

Backmatter

Diagrams and Groups

Frontmatter

Chapter 1. Dehn’s Problems and Cayley Graphs

Chapter 2. Van Kampen Diagrams and Pictures

Chapter 3. Small Cancellation Conditions

Chapter 4. Isoperimetric Inequalities and Quasi-Isometries

Chapter 5. Free Nilpotent Groups

Chapter 6. Hyperbolic-by-free groups

Backmatter

Titel: The Geometry of the Word Problem for Finitely Generated Groups
verfasst von: Noel Brady
Tim Riley
Hamish Short
Copyright-Jahr: 2007
Verlag: Birkhäuser Basel
Electronic ISBN: 978-3-7643-7950-6
Print ISBN: 978-3-7643-7949-0
DOI: https://doi.org/10.1007/978-3-7643-7950-6