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The Geometry of the Word Problem for Finitely Generated Groups

By: Brady, Noel [author.].
Contributor(s): Riley, Tim [author.] | Short, Hamish [author.] | SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Advanced Courses in Mathematics CRM Barcelona, Centre de Recerca Matemàtica: Publisher: Basel : Birkhäuser Basel, 2007.Description: IX, 206 p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783764379506.Subject(s): Mathematics | Group theory | Algebra | Ordered algebraic structures | Convex geometry | Discrete geometry | Combinatorics | Mathematics | Group Theory and Generalizations | Convex and Discrete Geometry | Combinatorics | Order, Lattices, Ordered Algebraic StructuresDDC classification: 512.2 Online resources: Click here to access online
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.
In: Springer eBooks
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Item type Current location Call number Status Date due Barcode Item holds
E books E books PK Kelkar Library, IIT Kanpur
Available EBK9377
Total holds: 0

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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