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.
The Geometry of the Word Problem for Finitely Generated G...
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Key Phrases - Statistically Improbable Phrases (SIPs):
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embedded flat planes, isoperimetric spectrum, snowflake groups, cubical groups, geodesic spanning tree, subquadratic isoperimetric inequality, snowflake words, isoperimetric functions, snowflake diagram, branching locus, descending links, vertex groups, curved groups, cubical complexes, ascending link, linear isoperimetric inequality, asymptotic cones, flag complex, hyperbolic groups, geodesic metric space, free nilpotent groups, intrinsic diameter, filling length, boundary circuit, finite presentation Key Phrases - Capitalized Phrases (CAPs): (learn more)
London Math, Tim Riley, Morse Lemma, P-van Kampen, Algebra Comput, New York, Eilenberg-Mac Lane, Noel Brady, Cambridge Univ, Eilenberg Mac Lane, Ohio State University, Oxford University, University of Utah New!
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embedded flat planes, isoperimetric spectrum, snowflake groups, cubical groups, geodesic spanning tree, subquadratic isoperimetric inequality, snowflake words, isoperimetric functions, snowflake diagram, branching locus, descending links, vertex groups, curved groups, cubical complexes, ascending link, linear isoperimetric inequality, asymptotic cones, flag complex, hyperbolic groups, geodesic metric space, free nilpotent groups, intrinsic diameter, filling length, boundary circuit, finite presentation Key Phrases - Capitalized Phrases (CAPs): (learn more)
London Math, Tim Riley, Morse Lemma, P-van Kampen, Algebra Comput, New York, Eilenberg-Mac Lane, Noel Brady, Cambridge Univ, Eilenberg Mac Lane, Ohio State University, Oxford University, University of Utah New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Surprise Me!
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