Office hours with a geometric group theorist

Contributor(s): Edited by Matt Clay | Dan MargalitPublication details: New Jersey: Princeton University Press, [c2007]Description: 441 pISBN: 9780691158662Subject(s): Mathematics | Geomatric group theoryLOC classification: QA183. O44
Contents:
Part 1. Groups and spaces Part 2. Free groups Part 3. Large scale geometry Part 4. Examples
Summary: Geometric group theory is the study of the interplay between groups and the spaces they act on, and has its roots in the works of Henri Poincaré, Felix Klein, J.H.C. Whitehead, and Max Dehn. This text brings together leading experts who provide one-on-one instruction on key topics in this exciting and relatively new field of mathematics. An essential primer for undergraduates making the leap to graduate work, the book begins with free groups-actions of free groups on trees, algorithmic questions about free groups, the ping-pong lemma, and automorphisms of free groups. It goes on to cover several large-scale geometric invariants of groups, including quasi-isometry groups, Dehn functions, Gromov hyperbolicity, and asymptotic dimension. It also delves into important examples of groups, such as Coxeter groups, Thompson's groups, right-angled Artin groups, lamplighter groups, mapping class groups, and braid groups.
List(s) this item appears in: New Arrivals
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Rack No 4 QA183 .O44 (Browse shelf (Opens below)) Available 02859
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Part 1. Groups and spaces
Part 2. Free groups
Part 3. Large scale geometry
Part 4. Examples

Geometric group theory is the study of the interplay between groups and the spaces they act on, and has its roots in the works of Henri Poincaré, Felix Klein, J.H.C. Whitehead, and Max Dehn. This text brings together leading experts who provide one-on-one instruction on key topics in this exciting and relatively new field of mathematics. An essential primer for undergraduates making the leap to graduate work, the book begins with free groups-actions of free groups on trees, algorithmic questions about free groups, the ping-pong lemma, and automorphisms of free groups. It goes on to cover several large-scale geometric invariants of groups, including quasi-isometry groups, Dehn functions, Gromov hyperbolicity, and asymptotic dimension. It also delves into important examples of groups, such as Coxeter groups, Thompson's groups, right-angled Artin groups, lamplighter groups, mapping class groups, and braid groups.

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