000			02213nam a22003738a 4500
001			CR9781139095129
003			UkCbUP
005			20160624102257.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			110608s2011||||enk s ||1 0|eng|d
020			_a9781139095129 (ebook)
020			_z9781107657502 (paperback)
040			_aUkCbUP _cUkCbUP _erda
050	0	0	_aQA174.2 _b.M365 2012
082	0	0	_an/a _2n/a
100	1		_aMann, Avinoam, _eauthor.
245	1	0	_aHow Groups Grow / _cAvinoam Mann.
260		1	_aCambridge : _bCambridge University Press, _c2011.
264		1	_aCambridge : _bCambridge University Press, _c2011.
300			_a1 online resource (210 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	0		_aLondon Mathematical Society Lecture Note Series ; _vno. 395
500			_aTitle from publisher's bibliographic system (viewed on 16 Oct 2015).
520			_aGrowth of groups is an innovative new branch of group theory. This is the first book to introduce the subject from scratch. It begins with basic definitions and culminates in the seminal results of Gromov and Grigorchuk and more. The proof of Gromov's theorem on groups of polynomial growth is given in full, with the theory of asymptotic cones developed on the way. Grigorchuk's first and general groups are described, as well as the proof that they have intermediate growth, with explicit bounds, and their relationship to automorphisms of regular trees and finite automata. Also discussed are generating functions, groups of polynomial growth of low degrees, infinitely generated groups of local polynomial growth, the relation of intermediate growth to amenability and residual finiteness, and conjugacy class growth. This book is valuable reading for researchers, from graduate students onward, working in contemporary group theory.
650		0	_aGroup theory
776	0	8	_iPrint version: _z9781107657502
786			_dCambridge
830		0	_aLondon Mathematical Society Lecture Note Series ; _vno. 395.
856	4	0	_uhttp://dx.doi.org/10.1017/CBO9781139095129
942			_2EBK12045 _cEBK
999			_c41339 _d41339