Noel Brady,
Tim Riley,
Hamish Short
The Geometry of the Word Problem for Finitely Generated Groups
Paperback Engels 2006 2007e druk 9783764379490Levertijd ongeveer 9 werkdagen
Gratis verzonden
Samenvatting
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.
Specificaties
ISBN13:9783764379490
Taal:Engels
Bindwijze:paperback
Aantal pagina's:206
Uitgever:Birkhäuser Basel
Druk:2007
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Inhoudsopgave
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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