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Catalogue Information
Field name	Details
Dewey Class	512.2
Title	The geometry of the word problem for finitely generated groups ([Ebook]) / by Noel Brady, Tim Riley, Hamish Short
Author	Brady, Noel
Added Personal Name	Short, Hamish
Added Personal Name	Riley, Tim
Other name(s)	SpringerLink (Online service)
Publication	Basel : Birkhäuser , 2007
Physical Details	: online resource
Physical Details	206 pages
Series	Advanced courses in mathematics, CRM Barcelona
ISBN	9783764379506
Summary Note	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.:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-3-7643-7950-6
Links to Related Works	Subject References: Combinatorics . Finite groups . Geodesics (Mathematics) . Geometric group theory . Group theory . Word problems (Mathematics) . Authors: Brady, Noel . Riley, Tim . Short, Hamish . Corporate Authors: SpringerLink (Online service) . Series: Advanced courses in mathematics, CRM Barcelona . Classification: 512.2 . 512.2 (DDC 22) .

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The geometry of the word problem for finitely generated groups

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