000			02669nam a22003738i 4500
001			CR9781139176064
003			UkCbUP
005			20200124160238.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			111017s2012||||enk o ||1 0|eng|d
020			_a9781139176064 (ebook)
020			_z9781107024816 (hardback)
040			_aUkCbUP _beng _erda _cUkCbUP
050		4	_aQA183 _b.C49 2012
082	0	4	_a512.2 _223
100	1		_aChiswell, Ian, _d1948- _eauthor.
245	1	2	_aA universal construction for groups acting freely on real trees / _cIan Chiswell and Thomas Müller.
264		1	_aCambridge : _bCambridge University Press, _c2012.
300			_a1 online resource (xiii, 285 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aCambridge tracts in mathematics ; _v195
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	0		_a1. Introduction -- 2. The group R F (G) -- 3. The R-tree X[g subscript] associated with RF (G) -- 4. Free R-tree actions and universality -- 5. Exponent sums -- 6. Functionality -- 7. Conjugacy of hyperbolic elements -- 8. The centalisers of hyperbolic elements -- 9. Test functions: basic theory and first applications -- 10. Test functions: existence theorem and further applications -- 11. A generation to groupoids -- Appendices.
520			_aThe theory of R-trees is a well-established and important area of geometric group theory and in this book the authors introduce a construction that provides a new perspective on group actions on R-trees. They construct a group RF(G), equipped with an action on an R-tree, whose elements are certain functions from a compact real interval to the group G. They also study the structure of RF(G), including a detailed description of centralizers of elements and an investigation of its subgroups and quotients. Any group acting freely on an R-tree embeds in RF(G) for some choice of G. Much remains to be done to understand RF(G), and the extensive list of open problems included in an appendix could potentially lead to new methods for investigating group actions on R-trees, particularly free actions. This book will interest all geometric group theorists and model theorists whose research involves R-trees.
650		0	_aGeometric group theory.
650		0	_aTrees (Graph theory)
700	1		_aMüller, T. W. _q(Thomas Wolfgang), _d1957- _eauthor.
776	0	8	_iPrint version: _z9781107024816
830		0	_aCambridge tracts in mathematics ; _v195.
856	4	0	_uhttps://doi.org/10.1017/CBO9781139176064
999			_c518292 _d518290