TY - GEN AU - Edited by Matt Clay AU - Dan Margalit TI - Office hours with a geometric group theorist SN - 9780691158662 AV - QA183. O44 PY - 2007///] CY - New Jersey PB - Princeton University Press KW - Mathematics KW - Geomatric group theory N1 - Part 1. Groups and spaces Part 2. Free groups Part 3. Large scale geometry Part 4. Examples N2 - 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 ER -