東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Geometric group theory = an introduc...

Loh, Clara.

Linked to FindBook

Google Book

Amazon

博客來

Geometric group theory = an introduction /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Geometric group theory/ by Clara Loh.
Reminder of title:	an introduction /
Author:	Loh, Clara.
Published:	Cham :Springer International Publishing : : 2017.,
Description:	xi, 389 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Geometric group theory. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-72254-2
ISBN:	9783319722542

Geometric group theory = an introduction /
Loh, Clara.

Geometric group theoryan introduction /[electronic resource] :by Clara Loh. - Cham :Springer International Publishing :2017. - xi, 389 p. :ill. (some col.), digital ;24 cm. - Universitext,0172-5939. - Universitext..

Inspired 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.

ISBN: 9783319722542

Standard No.: 10.1007/978-3-319-72254-2doiSubjects--Topical Terms:

745240
Geometric group theory.

LC Class. No.: QA183

Dewey Class. No.: 512.2

Geometric group theory = an introduction /
LDR:01902nmm a2200313 a 4500 001 2112857
003 DE-He213
005 20171220190023.0
006 m d
007 cr nn 008maaau
008 180719s2017 gw s 0 eng d
020 $a 9783319722542 $q (electronic bk.)
020 $a 9783319722535 $q (paper)
024 7 $a 10.1007/978-3-319-72254-2 $2 doi
035 $a 978-3-319-72254-2
040 $a GP $c GP
041 0 $a eng
050 4 $a QA183
072 7 $a PBG $2 bicssc
072 7 $a MAT002010 $2 bisacsh
082 0 4 $a 512.2 $2 23
090 $a QA183 $b .L833 2017
100 1 $a Loh, Clara. $3 3270922
245 1 0 $a Geometric group theory $h [electronic resource] : $b an introduction / $c by Clara Loh.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2017.
300 $a xi, 389 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Universitext, $x 0172-5939
520 $a Inspired 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.
650 0 $a Geometric group theory. $3 745240
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Group Theory and Generalizations. $3 893889
650 2 4 $a Differential Geometry. $3 891003
650 2 4 $a Hyperbolic Geometry. $3 2072804
650 2 4 $a Manifolds and Cell Complexes (incl. Diff.Topology) $3 891270
650 2 4 $a Graph Theory. $3 1567033
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Universitext. $3 812115
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-72254-2
950 $a Mathematics and Statistics (Springer-11649)