000			02726nam a22003738i 4500
001			CR9781139167505
003			UkCbUP
005			20200124160218.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			111007s2008||||enk o ||1 0|eng|d
020			_a9781139167505 (ebook)
020			_z9780521895453 (hardback)
020			_z9780521719773 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA178 _b.M45 2008
082	0	0	_a512/.2 _222
100	1		_aMeier, John, _d1965- _eauthor.
245	1	0	_aGroups, graphs, and trees : _ban introduction to the geometry of infinite groups / _cJohn Meier.
246	3		_aGroups, Graphs & Trees
264		1	_aCambridge : _bCambridge University Press, _c2008.
300			_a1 online resource (xi, 231 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aLondon Mathematical Society student texts ; _v73
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	0		_aPreface -- Cayley's theorems -- Groups generated by reflections -- Groups acting on trees -- Baumslag-Solitar groups -- Words and Dehn's word problem -- A finitely-generated, infinite, Torsion group -- Regular languages and normal forms -- The Lamplighter group -- The geometry of infinite groups -- Thompson's group -- The large-scale geometry of groups.
520			_aPresenting groups in a formal, abstract algebraic manner is both useful and powerful, yet it avoids a fascinating geometric perspective on group theory - which is also useful and powerful, particularly in the study of infinite groups. This book presents the modern, geometric approach to group theory, in an accessible and engaging approach to the subject. Topics include group actions, the construction of Cayley graphs, and connections to formal language theory and geometry. Theorems are balanced by specific examples such as Baumslag-Solitar groups, the Lamplighter group and Thompson's group. Only exposure to undergraduate-level abstract algebra is presumed, and from that base the core techniques and theorems are developed and recent research is explored. Exercises and figures throughout the text encourage the development of geometric intuition. Ideal for advanced undergraduates looking to deepen their understanding of groups, this book will also be of interest to graduate students and researchers as a gentle introduction to geometric group theory.
650		0	_aInfinite groups.
776	0	8	_iPrint version: _z9780521895453
830		0	_aLondon Mathematical Society student texts ; _v73.
856	4	0	_uhttps://doi.org/10.1017/CBO9781139167505
999			_c516470 _d516468