000			03304cam a22003737i 4500
001			19387392
003			OSt
005			20230220115019.0
008			161125t20172017njua b 001 0 eng d
010			_a 2016960820
020			_a9780691158662 (pbk.)
035			_a(OCoLC)ocn962353239
040			_aYDX _beng _cYDX _erda _dBDX _dBTCTA _dMDS _dOCLCF _dTFW _dGZM _dDHA _dMNU _dOCLCQ _dDLC
042			_alccopycat
082	0	4	_a512.2 _223
245	0	0	_aOffice hours with a geometric group theorist / _cedited by Matt Clay and Dan Margalit.
264		1	_aPrinceton, New Jersey : _bPrinceton University Press ; _c[2017]
264		4	_c©2017
300			_axii, 441 pages : _billustrations ; _c24 cm
336			_atext _btxt _2rdacontent
337			_aunmediated _bn _2rdamedia
338			_avolume _bnc _2rdacarrier
504			_aIncludes bibliographical references (pages 419-436) and index.
505	0		_aGroups / Matt Clay and Dan Margalit -- ...and spaces / Matt Clay and Dan Margalit -- Groups acting on trees / Dan Margalit -- Free groups and folding / Matt Clay -- The ping-pong lemma / Johanna Mangahas -- Automorphisms of free groups / Matt Clay -- Quasi-isometries / Dan Margalit and Anne Thomas -- Dehn functions / Timothy Riley -- Hyperbolic groups / Moon Duchin -- Ends of groups / Nic Koban and John Meier -- Asymptotic dimension / Greg Bell -- Growth of groups / Eric Freden -- Coxeter groups / Adam Piggott -- Right-angled artin groups / Robert W. Bell and Matt Clay -- Lamplighter groups / Jennifer Taback -- Thompson's group / Sean Cleary -- Mapping class groups / Tara Brendle, Leah Childers, and Dan Margalit -- Braids / Aaron Abrams.
520			_a"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 book] 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. The tone is conversational throughout, and the instruction is driven by examples. Accessible to students who have taken a first course in abstract algebra, [the book] also features numerous exercises and in-depth projects designed to engage readers and provide jumping-off points for research projects"-- _cBack cover.
650		0	_aGeometric group theory. _91773
650		7	_aGeometric group theory. _2fast _0(OCoLC)fst00940833 _91773
700	1		_aClay, Matt, _eeditor. _91867
700	1		_aMargalit, Dan, _d1976- _eeditor. _91853
906			_a7 _bcbc _ccopycat _d2 _encip _f20 _gy-gencatlg
942			_2ddc _cBK
999			_c1509 _d1509