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Geometric group theory = an introduction /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Geometric group theory/ by Clara Loh.
其他題名:	an introduction /
作者:	Loh, Clara.
出版者:	Cham :Springer International Publishing : : 2017.,
面頁冊數:	xi, 389 p. :ill. (some col.), digital ; : 24 cm.;
Contained By:	Springer eBooks
標題:	Geometric group theory. -
電子資源:	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:

1198053
Geometric group theory.

LC Class. No.: QA183

Dewey Class. No.: 512.2

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