Cover image for The Geometry of the Word Problem for Finitely Generated Groups
The Geometry of the Word Problem for Finitely Generated Groups
Title:
The Geometry of the Word Problem for Finitely Generated Groups
Author:
Brady, Noel. author.
ISBN:
9783764379506
Personal Author:
Physical Description:
IX, 206 p. online resource.
Series:
Advanced Courses in Mathematics CRM Barcelona, Centre de Recerca Matemàtica
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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