The Geometry of the Word Problem for Finitely Generated Groups

(0) Erste Bewertung abgeben
CHF 43.90
Print on demand - Exemplar wird für Sie besorgt.
Kartonierter Einband

Beschreibung

The origins of the word problem are in group theory, decidability and complexity. But through the vision of M. Gromov and the language of filling functions, the topic now impacts the world of large-scale geometry. This book contains accounts of many recent developments in Geometric Group Theory and shows the interaction between the word problem and geometry continues to be a central theme. It contains many figures, numerous exercises and open questions.

Inhalt
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.

Mehr anzeigen

Produktinformationen

Titel
The Geometry of the Word Problem for Finitely Generated Groups
Autor
EAN
9783764379490
ISBN
3764379499
Format
Kartonierter Einband
Anzahl Seiten
220
Gewicht
602g
Größe
H239mm x B170mm x T17mm
Jahr
2006
Untertitel
Englisch
Mehr anzeigen
Andere Kunden kauften auch