000			01599 a2200229 4500
003			OSt
005			20241009111341.0
008			241009b |||||||| |||| 00| 0 eng d
020			_a9780691158662
040			_aICTS-TIFR
050			_aQA183. O44
245			_aOffice hours with a geometric group theorist
260			_bPrinceton University Press, _aNew Jersey: _c[c2007]
300			_a441 p.
505			_aPart 1. Groups and spaces Part 2. Free groups Part 3. Large scale geometry Part 4. Examples
520			_aGeometric 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.
650			_aMathematics
650			_aGeomatric group theory
700			_aEdited by Matt Clay
700			_aDan Margalit
942			_2lcc _cBK
999			_c35471 _d35471