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The Geometry of the Word Problem for Finitely Generated Groups

Autor Noel Brady, Tim Riley, Hamish Short

en Limba Engleză Paperback – 12 dec 2006

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Specificații

ISBN-13: 9783764379490
ISBN-10: 3764379499
Pagini: 220
Ilustrații: IX, 206 p.
Dimensiuni: 170 x 244 x 13 mm
Greutate: 0.39 kg
Ediția:2007
Editura: birkhäuser
Locul publicării:Basel, Switzerland

Public țintă

Graduate

Cuprins

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.

Caracteristici

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 Illustrated with many figures and containing numerous exercises and open questions Includes supplementary material: sn.pub/extras

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