募捐 9月15日2024 – 10月1日2024 关于筹款

Geometric Group Theory: An Introduction [draft]

Geometric Group Theory: An Introduction [draft]

Clara Löh
你有多喜欢这本书?
下载文件的质量如何?
下载该书,以评价其质量
下载文件的质量如何?
Lots of errors corrected, but horrible watermarks, which makes it hard to read.
Main subject category: • Geometric group theory • Group theory • Geometry

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.

年:
2017
出版:
1, draft
出版社:
Springer, Springer Nature, Springer International Publishing AG
语言:
english
页:
390
ISBN 10:
3319722530
ISBN 13:
9783319722535
ISBN:
3319722535
系列:
Universitext
文件:
PDF, 5.03 MB
IPFS:
CID , CID Blake2b
english, 2017
线上阅读
正在转换
转换为 失败

关键词