The Geometry of the Word Problem for Finitely Generated Groups (häftad)
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Format
Häftad (Paperback / softback)
Språk
Engelska
Antal sidor
206
Utgivningsdatum
2006-12-01
Upplaga
2007 ed.
Förlag
Birkhauser Verlag AG
Medarbetare
Riley, Tim / Short, Hamish
Illustrationer
IX, 206 p.
Dimensioner
239 x 171 x 15 mm
Vikt
595 g
Antal komponenter
1
Komponenter
1 Paperback / softback
ISBN
9783764379490

The Geometry of the Word Problem for Finitely Generated Groups

Advanced Courses in Mathematics - CRM Barcelona

av Noel Brady, Tim Riley, Hamish Short
Häftad,  Engelska, 2006-12-01
354
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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.
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Fler böcker av författarna

Noel Brady, Tim Riley, Hamish Short

Innehållsförteckning

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.- Dehns 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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