000			03229nam a22003975i 4500
001			310018
003			MX-SnUAN
005			20160429160337.0
007			cr nn 008mamaa
008			150903s2007 sz | o |||| 0|eng d
020			_a9783764379506 _99783764379506
024	7		_a10.1007/9783764379506 _2doi
035			_avtls000362843
039		9	_a201509030649 _bVLOAD _c201405070335 _dVLOAD _y201402211059 _zstaff
040			_aMX-SnUAN _bspa _cMX-SnUAN _erda
050		4	_aQA174-183
100	1		_aBrady, Noel. _eautor _9350556
245	1	4	_aThe Geometry of the Word Problem for Finitely Generated Groups / _cby Noel Brady, Tim Riley, Hamish Short.
264		1	_aBasel : _bBirkhäuser Basel, _c2007.
300			_avii, 206 páginas _brecurso en línea.
336			_atexto _btxt _2rdacontent
337			_acomputadora _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_aarchivo de texto _bPDF _2rda
490	0		_aAdvanced Courses in Mathematics CRM Barcelona, Centre de Recerca Matemàtica
500			_aSpringer eBooks
505	0		_aDehn Functions and Non-Positive Curvature -- The Isoperimetric Spectrum -- Dehn Functions of Subgroups of CAT(0) Groups -- Filling Functions -- Filling Functions -- Relationships Between Filling Functions -- Example: Nilpotent Groups -- Asymptotic Cones -- Diagrams and Groups -- Dehn’s Problems and Cayley Graphs -- Van Kampen Diagrams and Pictures -- Small Cancellation Conditions -- Isoperimetric Inequalities and Quasi-Isometries -- Free Nilpotent Groups -- Hyperbolic-by-free groups.
520			_aThe origins of the word problem are in group theory, decidability and complexity, but, through the vision of M. Gromov and the language of filling functions, the topic now impacts the world of large-scale geometry, including topics such as soap films, isoperimetry, coarse invariants and curvature. The first part introduces van Kampen diagrams in Cayley graphs of finitely generated, infinite groups; it discusses the van Kampen lemma, the isoperimetric functions or Dehn functions, the theory of small cancellation groups and an introduction to hyperbolic groups. One of the main tools in geometric group theory is the study of spaces, in particular geodesic spaces and manifolds, such that the groups act upon. The second part is thus dedicated to Dehn functions, negatively curved groups, in particular, CAT(0) groups, cubings and cubical complexes. In the last part, filling functions are presented from geometric, algebraic and algorithmic points of view; it is discussed how filling functions interact, and applications to nilpotent groups, hyperbolic groups and asymptotic cones are given. Many examples and open problems are included.
590			_aPara consulta fuera de la UANL se requiere clave de acceso remoto.
700	1		_aRiley, Tim. _eautor _9350557
700	1		_aShort, Hamish. _eautor _9350558
710	2		_aSpringerLink (Servicio en línea) _9299170
776	0	8	_iEdición impresa: _z9783764379490
856	4	0	_uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-3-7643-7950-6 _zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
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999			_c310018 _d310018