The Geometry of the Word Problem for Finitely Generated Groups
Autor: | Noel Brady, Tim Riley, Hamish Short |
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EAN: | 9783764379506 |
eBook Format: | |
Sprache: | Englisch |
Produktart: | eBook |
Veröffentlichungsdatum: | 12.12.2006 |
Kategorie: | |
Schlagworte: | B Cayley graph Combinatorics Convex and Discrete Geometry Dehn function Group Theory and Generalizations Lattices Morse theory Order Ordered Algebraic Word problem filling function hyperbolic group isoperimetric spectrum nilpotent group |
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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.