000			01881nam 2200337| 4500
001			85049
005			20210913134646.0
010			_a978-3-319-72254-2 _dcompra
090			_a85049
100			_a20190128d2017 k||y0pory50 ba
101	0		_aeng
102			_aUS
200	1		_aGeometric group theory _bDocumento electrónico _fClara Löh _ean introduction
210			_aCham _cSpringer International Publishing _d2017
215			_aXI, 389 p. 119 il.
225	2		_aUniversitext
300			_aColocação: Online
303			_aInspired by classical geometry, geometric group theory has in turn provided a variety of applications to geometry, topology, group theory, number theory and graph theory. This carefully written textbook provides a rigorous introduction to this rapidly evolving field whose methods have proven to be powerful tools in neighbouring fields such as geometric topology. Geometric group theory is the study of finitely generated groups via the geometry of their associated Cayley graphs. It turns out that the essence of the geometry of such groups is captured in the key notion of quasi-isometry, a large-scale version of isometry whose invariants include growth types, curvature conditions, boundary constructions, and amenability. This book covers the foundations of quasi-geometry of groups at an advanced undergraduate level. The subject is illustrated by many elementary examples, outlooks on applications, as well as an extensive collection of exercises.
410	1		_x0172-5939
606			_aGeometria diferencial
606			_aTeoria dos grupos
606			_aVariedades (Matemática)
606			_aGeometria hiperbólica
680			_aQA641
700			_aLöh _bClara
801		0	_gRPC _aPT
856			_uhttps://doi.org/10.1007/978-3-319-72254-2
942			_2lcc _cF _n0